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Finding the Third Proportional to 266,054.50 and 391,301

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Solution

The third proportional to 266,054.50 and 391,301 is: 575,507.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,054.50 : 391,301 = 391,301 : x
  2. Step 2: Convert to fraction form
    266,054.50/391,301 = 391,301/x
  3. Step 3: Cross multiply
    266,054.50x = 391,301 × 391,301
  4. Step 4: Simplify right side
    266,054.50x = 153,116,472,601
  5. Step 5: Solve for x
    x = 153,116,472,601/266,054.50
  6. Step 6: Final answer
    x = 575,507.92

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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.