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Finding the Third Proportional to 58,140 and 78,451

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Solution

The third proportional to 58,140 and 78,451 is: 105,857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,140 : 78,451 = 78,451 : x
  2. Step 2: Convert to fraction form
    58,140/78,451 = 78,451/x
  3. Step 3: Cross multiply
    58,140x = 78,451 × 78,451
  4. Step 4: Simplify right side
    58,140x = 6,154,559,401
  5. Step 5: Solve for x
    x = 6,154,559,401/58,140
  6. Step 6: Final answer
    x = 105,857.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.