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Finding the Third Proportional to 64,575 and 100,689

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Solution

The third proportional to 64,575 and 100,689 is: 157,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,575 : 100,689 = 100,689 : x
  2. Step 2: Convert to fraction form
    64,575/100,689 = 100,689/x
  3. Step 3: Cross multiply
    64,575x = 100,689 × 100,689
  4. Step 4: Simplify right side
    64,575x = 10,138,274,721
  5. Step 5: Solve for x
    x = 10,138,274,721/64,575
  6. Step 6: Final answer
    x = 157,000.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.