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Finding the Third Proportional to 74,388 and 156,428

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Solution

The third proportional to 74,388 and 156,428 is: 328,947.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,388 : 156,428 = 156,428 : x
  2. Step 2: Convert to fraction form
    74,388/156,428 = 156,428/x
  3. Step 3: Cross multiply
    74,388x = 156,428 × 156,428
  4. Step 4: Simplify right side
    74,388x = 24,469,719,184
  5. Step 5: Solve for x
    x = 24,469,719,184/74,388
  6. Step 6: Final answer
    x = 328,947.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.