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Finding the Third Proportional to 78,432 and 119,998

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Solution

The third proportional to 78,432 and 119,998 is: 183,592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,432 : 119,998 = 119,998 : x
  2. Step 2: Convert to fraction form
    78,432/119,998 = 119,998/x
  3. Step 3: Cross multiply
    78,432x = 119,998 × 119,998
  4. Step 4: Simplify right side
    78,432x = 14,399,520,004
  5. Step 5: Solve for x
    x = 14,399,520,004/78,432
  6. Step 6: Final answer
    x = 183,592.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.