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Finding the Third Proportional to 56,429 and 87,657

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Solution

The third proportional to 56,429 and 87,657 is: 136,166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,429 : 87,657 = 87,657 : x
  2. Step 2: Convert to fraction form
    56,429/87,657 = 87,657/x
  3. Step 3: Cross multiply
    56,429x = 87,657 × 87,657
  4. Step 4: Simplify right side
    56,429x = 7,683,749,649
  5. Step 5: Solve for x
    x = 7,683,749,649/56,429
  6. Step 6: Final answer
    x = 136,166.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.