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Finding the Third Proportional to 178,642 and 284,363

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Solution

The third proportional to 178,642 and 284,363 is: 452,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,642 : 284,363 = 284,363 : x
  2. Step 2: Convert to fraction form
    178,642/284,363 = 284,363/x
  3. Step 3: Cross multiply
    178,642x = 284,363 × 284,363
  4. Step 4: Simplify right side
    178,642x = 80,862,315,769
  5. Step 5: Solve for x
    x = 80,862,315,769/178,642
  6. Step 6: Final answer
    x = 452,650.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.