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Finding the Third Proportional to 274,362 and 391,585

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Solution

The third proportional to 274,362 and 391,585 is: 558,892.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,362 : 391,585 = 391,585 : x
  2. Step 2: Convert to fraction form
    274,362/391,585 = 391,585/x
  3. Step 3: Cross multiply
    274,362x = 391,585 × 391,585
  4. Step 4: Simplify right side
    274,362x = 153,338,812,225
  5. Step 5: Solve for x
    x = 153,338,812,225/274,362
  6. Step 6: Final answer
    x = 558,892.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.