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Finding the Third Proportional to 423,458,404 and 917,265,704

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Solution

The third proportional to 423,458,404 and 917,265,704 is: 1,986,916,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,458,404 : 917,265,704 = 917,265,704 : x
  2. Step 2: Convert to fraction form
    423,458,404/917,265,704 = 917,265,704/x
  3. Step 3: Cross multiply
    423,458,404x = 917,265,704 × 917,265,704
  4. Step 4: Simplify right side
    423,458,404x = 841,376,371,734,615,552
  5. Step 5: Solve for x
    x = 841,376,371,734,615,552/423,458,404
  6. Step 6: Final answer
    x = 1,986,916,220.78

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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.