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Finding the Third Proportional to 60,484 and 90,790

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Solution

The third proportional to 60,484 and 90,790 is: 136,281.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,484 : 90,790 = 90,790 : x
  2. Step 2: Convert to fraction form
    60,484/90,790 = 90,790/x
  3. Step 3: Cross multiply
    60,484x = 90,790 × 90,790
  4. Step 4: Simplify right side
    60,484x = 8,242,824,100
  5. Step 5: Solve for x
    x = 8,242,824,100/60,484
  6. Step 6: Final answer
    x = 136,281.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.