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Finding the Third Proportional to 553,697 and 841,743

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Solution

The third proportional to 553,697 and 841,743 is: 1,279,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,697 : 841,743 = 841,743 : x
  2. Step 2: Convert to fraction form
    553,697/841,743 = 841,743/x
  3. Step 3: Cross multiply
    553,697x = 841,743 × 841,743
  4. Step 4: Simplify right side
    553,697x = 708,531,278,049
  5. Step 5: Solve for x
    x = 708,531,278,049/553,697
  6. Step 6: Final answer
    x = 1,279,637.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.