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Finding the Third Proportional to 345,246 and 516,429

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Solution

The third proportional to 345,246 and 516,429 is: 772,489.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,246 : 516,429 = 516,429 : x
  2. Step 2: Convert to fraction form
    345,246/516,429 = 516,429/x
  3. Step 3: Cross multiply
    345,246x = 516,429 × 516,429
  4. Step 4: Simplify right side
    345,246x = 266,698,912,041
  5. Step 5: Solve for x
    x = 266,698,912,041/345,246
  6. Step 6: Final answer
    x = 772,489.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.