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Finding the Third Proportional to 60,489 and 79,585

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Solution

The third proportional to 60,489 and 79,585 is: 104,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,489 : 79,585 = 79,585 : x
  2. Step 2: Convert to fraction form
    60,489/79,585 = 79,585/x
  3. Step 3: Cross multiply
    60,489x = 79,585 × 79,585
  4. Step 4: Simplify right side
    60,489x = 6,333,772,225
  5. Step 5: Solve for x
    x = 6,333,772,225/60,489
  6. Step 6: Final answer
    x = 104,709.49

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.