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Finding the Third Proportional to 349,855 and 724,603

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Solution

The third proportional to 349,855 and 724,603 is: 1,500,763.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,855 : 724,603 = 724,603 : x
  2. Step 2: Convert to fraction form
    349,855/724,603 = 724,603/x
  3. Step 3: Cross multiply
    349,855x = 724,603 × 724,603
  4. Step 4: Simplify right side
    349,855x = 525,049,507,609
  5. Step 5: Solve for x
    x = 525,049,507,609/349,855
  6. Step 6: Final answer
    x = 1,500,763.20

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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.