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Finding the Third Proportional to 813,104,197 and 1,097,068,464

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Solution

The third proportional to 813,104,197 and 1,097,068,464 is: 1,480,202,929.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,104,197 : 1,097,068,464 = 1,097,068,464 : x
  2. Step 2: Convert to fraction form
    813,104,197/1,097,068,464 = 1,097,068,464/x
  3. Step 3: Cross multiply
    813,104,197x = 1,097,068,464 × 1,097,068,464
  4. Step 4: Simplify right side
    813,104,197x = 1,203,559,214,703,319,296
  5. Step 5: Solve for x
    x = 1,203,559,214,703,319,296/813,104,197
  6. Step 6: Final answer
    x = 1,480,202,929.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.