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Finding the Third Proportional to 75,140 and 112,473

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Solution

The third proportional to 75,140 and 112,473 is: 168,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,140 : 112,473 = 112,473 : x
  2. Step 2: Convert to fraction form
    75,140/112,473 = 112,473/x
  3. Step 3: Cross multiply
    75,140x = 112,473 × 112,473
  4. Step 4: Simplify right side
    75,140x = 12,650,175,729
  5. Step 5: Solve for x
    x = 12,650,175,729/75,140
  6. Step 6: Final answer
    x = 168,354.75

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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.