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Finding the Third Proportional to 418,772 and 917,294

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Solution

The third proportional to 418,772 and 917,294 is: 2,009,275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,772 : 917,294 = 917,294 : x
  2. Step 2: Convert to fraction form
    418,772/917,294 = 917,294/x
  3. Step 3: Cross multiply
    418,772x = 917,294 × 917,294
  4. Step 4: Simplify right side
    418,772x = 841,428,282,436
  5. Step 5: Solve for x
    x = 841,428,282,436/418,772
  6. Step 6: Final answer
    x = 2,009,275.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.