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Finding the Third Proportional to 75,465 and 159,915

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Solution

The third proportional to 75,465 and 159,915 is: 338,869.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,465 : 159,915 = 159,915 : x
  2. Step 2: Convert to fraction form
    75,465/159,915 = 159,915/x
  3. Step 3: Cross multiply
    75,465x = 159,915 × 159,915
  4. Step 4: Simplify right side
    75,465x = 25,572,807,225
  5. Step 5: Solve for x
    x = 25,572,807,225/75,465
  6. Step 6: Final answer
    x = 338,869.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.