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Finding the Third Proportional to 662,909,742 and 921,723,238

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Solution

The third proportional to 662,909,742 and 921,723,238 is: 1,281,582,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,909,742 : 921,723,238 = 921,723,238 : x
  2. Step 2: Convert to fraction form
    662,909,742/921,723,238 = 921,723,238/x
  3. Step 3: Cross multiply
    662,909,742x = 921,723,238 × 921,723,238
  4. Step 4: Simplify right side
    662,909,742x = 849,573,727,469,204,608
  5. Step 5: Solve for x
    x = 849,573,727,469,204,608/662,909,742
  6. Step 6: Final answer
    x = 1,281,582,806.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.