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Finding the Third Proportional to 406,495,972 and 865,428,104

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Solution

The third proportional to 406,495,972 and 865,428,104 is: 1,842,492,557.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,495,972 : 865,428,104 = 865,428,104 : x
  2. Step 2: Convert to fraction form
    406,495,972/865,428,104 = 865,428,104/x
  3. Step 3: Cross multiply
    406,495,972x = 865,428,104 × 865,428,104
  4. Step 4: Simplify right side
    406,495,972x = 748,965,803,193,034,752
  5. Step 5: Solve for x
    x = 748,965,803,193,034,752/406,495,972
  6. Step 6: Final answer
    x = 1,842,492,557.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.