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Finding the Third Proportional to 349,330 and 711,506

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Solution

The third proportional to 349,330 and 711,506 is: 1,449,176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,330 : 711,506 = 711,506 : x
  2. Step 2: Convert to fraction form
    349,330/711,506 = 711,506/x
  3. Step 3: Cross multiply
    349,330x = 711,506 × 711,506
  4. Step 4: Simplify right side
    349,330x = 506,240,788,036
  5. Step 5: Solve for x
    x = 506,240,788,036/349,330
  6. Step 6: Final answer
    x = 1,449,176.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.