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Finding the Third Proportional to 349,862 and 724,620

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Solution

The third proportional to 349,862 and 724,620 is: 1,500,803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,862 : 724,620 = 724,620 : x
  2. Step 2: Convert to fraction form
    349,862/724,620 = 724,620/x
  3. Step 3: Cross multiply
    349,862x = 724,620 × 724,620
  4. Step 4: Simplify right side
    349,862x = 525,074,144,400
  5. Step 5: Solve for x
    x = 525,074,144,400/349,862
  6. Step 6: Final answer
    x = 1,500,803.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.