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Finding the Third Proportional to 245,157,498,061 and 345,085,341,197

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Solution

The third proportional to 245,157,498,061 and 345,085,341,197 is: 485,744,444,493.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,157,498,061 : 345,085,341,197 = 345,085,341,197 : x
  2. Step 2: Convert to fraction form
    245,157,498,061/345,085,341,197 = 345,085,341,197/x
  3. Step 3: Cross multiply
    245,157,498,061x = 345,085,341,197 × 345,085,341,197
  4. Step 4: Simplify right side
    245,157,498,061x = 119,083,892,709,049,902,301,184
  5. Step 5: Solve for x
    x = 119,083,892,709,049,902,301,184/245,157,498,061
  6. Step 6: Final answer
    x = 485,744,444,493.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.