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Finding the Third Proportional to 40,489 and 60,312

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Solution

The third proportional to 40,489 and 60,312 is: 89,840.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,489 : 60,312 = 60,312 : x
  2. Step 2: Convert to fraction form
    40,489/60,312 = 60,312/x
  3. Step 3: Cross multiply
    40,489x = 60,312 × 60,312
  4. Step 4: Simplify right side
    40,489x = 3,637,537,344
  5. Step 5: Solve for x
    x = 3,637,537,344/40,489
  6. Step 6: Final answer
    x = 89,840.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.