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Finding the Third Proportional to 349,432 and 748,724

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Solution

The third proportional to 349,432 and 748,724 is: 1,604,282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,432 : 748,724 = 748,724 : x
  2. Step 2: Convert to fraction form
    349,432/748,724 = 748,724/x
  3. Step 3: Cross multiply
    349,432x = 748,724 × 748,724
  4. Step 4: Simplify right side
    349,432x = 560,587,628,176
  5. Step 5: Solve for x
    x = 560,587,628,176/349,432
  6. Step 6: Final answer
    x = 1,604,282.46

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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.