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Finding the Third Proportional to 178,643 and 284,365

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Solution

The third proportional to 178,643 and 284,365 is: 452,653.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,643 : 284,365 = 284,365 : x
  2. Step 2: Convert to fraction form
    178,643/284,365 = 284,365/x
  3. Step 3: Cross multiply
    178,643x = 284,365 × 284,365
  4. Step 4: Simplify right side
    178,643x = 80,863,453,225
  5. Step 5: Solve for x
    x = 80,863,453,225/178,643
  6. Step 6: Final answer
    x = 452,653.91

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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.