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Finding the Third Proportional to 40,000 and 59,780

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Solution

The third proportional to 40,000 and 59,780 is: 89,341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,000 : 59,780 = 59,780 : x
  2. Step 2: Convert to fraction form
    40,000/59,780 = 59,780/x
  3. Step 3: Cross multiply
    40,000x = 59,780 × 59,780
  4. Step 4: Simplify right side
    40,000x = 3,573,648,400
  5. Step 5: Solve for x
    x = 3,573,648,400/40,000
  6. Step 6: Final answer
    x = 89,341.21

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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.