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Finding the Third Proportional to 145,498 and 216,060

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Solution

The third proportional to 145,498 and 216,060 is: 320,842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,498 : 216,060 = 216,060 : x
  2. Step 2: Convert to fraction form
    145,498/216,060 = 216,060/x
  3. Step 3: Cross multiply
    145,498x = 216,060 × 216,060
  4. Step 4: Simplify right side
    145,498x = 46,681,923,600
  5. Step 5: Solve for x
    x = 46,681,923,600/145,498
  6. Step 6: Final answer
    x = 320,842.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.