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Finding the Third Proportional to 60,971.50 and 128,585

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Solution

The third proportional to 60,971.50 and 128,585 is: 271,177.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,971.50 : 128,585 = 128,585 : x
  2. Step 2: Convert to fraction form
    60,971.50/128,585 = 128,585/x
  3. Step 3: Cross multiply
    60,971.50x = 128,585 × 128,585
  4. Step 4: Simplify right side
    60,971.50x = 16,534,102,225
  5. Step 5: Solve for x
    x = 16,534,102,225/60,971.50
  6. Step 6: Final answer
    x = 271,177.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.