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Finding the Third Proportional to 360,301 and 782,138

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Solution

The third proportional to 360,301 and 782,138 is: 1,697,857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,301 : 782,138 = 782,138 : x
  2. Step 2: Convert to fraction form
    360,301/782,138 = 782,138/x
  3. Step 3: Cross multiply
    360,301x = 782,138 × 782,138
  4. Step 4: Simplify right side
    360,301x = 611,739,851,044
  5. Step 5: Solve for x
    x = 611,739,851,044/360,301
  6. Step 6: Final answer
    x = 1,697,857.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.