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Finding the Third Proportional to 427,929 and 916,581

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Solution

The third proportional to 427,929 and 916,581 is: 1,963,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,929 : 916,581 = 916,581 : x
  2. Step 2: Convert to fraction form
    427,929/916,581 = 916,581/x
  3. Step 3: Cross multiply
    427,929x = 916,581 × 916,581
  4. Step 4: Simplify right side
    427,929x = 840,120,729,561
  5. Step 5: Solve for x
    x = 840,120,729,561/427,929
  6. Step 6: Final answer
    x = 1,963,224.58

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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.