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Finding the Third Proportional to 66,499 and 145,716

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Solution

The third proportional to 66,499 and 145,716 is: 319,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,499 : 145,716 = 145,716 : x
  2. Step 2: Convert to fraction form
    66,499/145,716 = 145,716/x
  3. Step 3: Cross multiply
    66,499x = 145,716 × 145,716
  4. Step 4: Simplify right side
    66,499x = 21,233,152,656
  5. Step 5: Solve for x
    x = 21,233,152,656/66,499
  6. Step 6: Final answer
    x = 319,300.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.