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Finding the Third Proportional to 223,561.50 and 345,387

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Solution

The third proportional to 223,561.50 and 345,387 is: 533,598.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,561.50 : 345,387 = 345,387 : x
  2. Step 2: Convert to fraction form
    223,561.50/345,387 = 345,387/x
  3. Step 3: Cross multiply
    223,561.50x = 345,387 × 345,387
  4. Step 4: Simplify right side
    223,561.50x = 119,292,179,769
  5. Step 5: Solve for x
    x = 119,292,179,769/223,561.50
  6. Step 6: Final answer
    x = 533,598.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.