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Finding the Third Proportional to 423,691,812 and 912,307,959

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Solution

The third proportional to 423,691,812 and 912,307,959 is: 1,964,413,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,691,812 : 912,307,959 = 912,307,959 : x
  2. Step 2: Convert to fraction form
    423,691,812/912,307,959 = 912,307,959/x
  3. Step 3: Cross multiply
    423,691,812x = 912,307,959 × 912,307,959
  4. Step 4: Simplify right side
    423,691,812x = 832,305,812,054,745,728
  5. Step 5: Solve for x
    x = 832,305,812,054,745,728/423,691,812
  6. Step 6: Final answer
    x = 1,964,413,256.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.