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Finding the Third Proportional to 187,428 and 301,839

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Solution

The third proportional to 187,428 and 301,839 is: 486,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,428 : 301,839 = 301,839 : x
  2. Step 2: Convert to fraction form
    187,428/301,839 = 301,839/x
  3. Step 3: Cross multiply
    187,428x = 301,839 × 301,839
  4. Step 4: Simplify right side
    187,428x = 91,106,781,921
  5. Step 5: Solve for x
    x = 91,106,781,921/187,428
  6. Step 6: Final answer
    x = 486,089.50

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.