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Finding the Third Proportional to 59,507 and 129,880

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Solution

The third proportional to 59,507 and 129,880 is: 283,476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,507 : 129,880 = 129,880 : x
  2. Step 2: Convert to fraction form
    59,507/129,880 = 129,880/x
  3. Step 3: Cross multiply
    59,507x = 129,880 × 129,880
  4. Step 4: Simplify right side
    59,507x = 16,868,814,400
  5. Step 5: Solve for x
    x = 16,868,814,400/59,507
  6. Step 6: Final answer
    x = 283,476.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.