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Finding the Third Proportional to 266,042.25 and 391,284

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Solution

The third proportional to 266,042.25 and 391,284 is: 575,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,042.25 : 391,284 = 391,284 : x
  2. Step 2: Convert to fraction form
    266,042.25/391,284 = 391,284/x
  3. Step 3: Cross multiply
    266,042.25x = 391,284 × 391,284
  4. Step 4: Simplify right side
    266,042.25x = 153,103,168,656
  5. Step 5: Solve for x
    x = 153,103,168,656/266,042.25
  6. Step 6: Final answer
    x = 575,484.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.