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Finding the Third Proportional to 78,534 and 119,440

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Solution

The third proportional to 78,534 and 119,440 is: 181,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,534 : 119,440 = 119,440 : x
  2. Step 2: Convert to fraction form
    78,534/119,440 = 119,440/x
  3. Step 3: Cross multiply
    78,534x = 119,440 × 119,440
  4. Step 4: Simplify right side
    78,534x = 14,265,913,600
  5. Step 5: Solve for x
    x = 14,265,913,600/78,534
  6. Step 6: Final answer
    x = 181,652.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.