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Finding the Third Proportional to 354,911 and 516,169

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Solution

The third proportional to 354,911 and 516,169 is: 750,696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,911 : 516,169 = 516,169 : x
  2. Step 2: Convert to fraction form
    354,911/516,169 = 516,169/x
  3. Step 3: Cross multiply
    354,911x = 516,169 × 516,169
  4. Step 4: Simplify right side
    354,911x = 266,430,436,561
  5. Step 5: Solve for x
    x = 266,430,436,561/354,911
  6. Step 6: Final answer
    x = 750,696.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.