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Finding the Third Proportional to 407,166 and 535,422

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Solution

The third proportional to 407,166 and 535,422 is: 704,078.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,166 : 535,422 = 535,422 : x
  2. Step 2: Convert to fraction form
    407,166/535,422 = 535,422/x
  3. Step 3: Cross multiply
    407,166x = 535,422 × 535,422
  4. Step 4: Simplify right side
    407,166x = 286,676,718,084
  5. Step 5: Solve for x
    x = 286,676,718,084/407,166
  6. Step 6: Final answer
    x = 704,078.23

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.