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Finding the Third Proportional to 345,253 and 738,479

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Solution

The third proportional to 345,253 and 738,479 is: 1,579,569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,253 : 738,479 = 738,479 : x
  2. Step 2: Convert to fraction form
    345,253/738,479 = 738,479/x
  3. Step 3: Cross multiply
    345,253x = 738,479 × 738,479
  4. Step 4: Simplify right side
    345,253x = 545,351,233,441
  5. Step 5: Solve for x
    x = 545,351,233,441/345,253
  6. Step 6: Final answer
    x = 1,579,569.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.