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Finding the Third Proportional to 40,257 and 87,429

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Solution

The third proportional to 40,257 and 87,429 is: 189,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,257 : 87,429 = 87,429 : x
  2. Step 2: Convert to fraction form
    40,257/87,429 = 87,429/x
  3. Step 3: Cross multiply
    40,257x = 87,429 × 87,429
  4. Step 4: Simplify right side
    40,257x = 7,643,830,041
  5. Step 5: Solve for x
    x = 7,643,830,041/40,257
  6. Step 6: Final answer
    x = 189,875.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.