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Finding the Third Proportional to 64,729 and 87,453

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Solution

The third proportional to 64,729 and 87,453 is: 118,154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,729 : 87,453 = 87,453 : x
  2. Step 2: Convert to fraction form
    64,729/87,453 = 87,453/x
  3. Step 3: Cross multiply
    64,729x = 87,453 × 87,453
  4. Step 4: Simplify right side
    64,729x = 7,648,027,209
  5. Step 5: Solve for x
    x = 7,648,027,209/64,729
  6. Step 6: Final answer
    x = 118,154.57

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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.