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Finding the Third Proportional to 427,932 and 916,587

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Solution

The third proportional to 427,932 and 916,587 is: 1,963,236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,932 : 916,587 = 916,587 : x
  2. Step 2: Convert to fraction form
    427,932/916,587 = 916,587/x
  3. Step 3: Cross multiply
    427,932x = 916,587 × 916,587
  4. Step 4: Simplify right side
    427,932x = 840,131,728,569
  5. Step 5: Solve for x
    x = 840,131,728,569/427,932
  6. Step 6: Final answer
    x = 1,963,236.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.