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Finding the Third Proportional to 178,280 and 387,280

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Solution

The third proportional to 178,280 and 387,280 is: 841,293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,280 : 387,280 = 387,280 : x
  2. Step 2: Convert to fraction form
    178,280/387,280 = 387,280/x
  3. Step 3: Cross multiply
    178,280x = 387,280 × 387,280
  4. Step 4: Simplify right side
    178,280x = 149,985,798,400
  5. Step 5: Solve for x
    x = 149,985,798,400/178,280
  6. Step 6: Final answer
    x = 841,293.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.