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Finding the Third Proportional to 400,524 and 619,959

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Solution

The third proportional to 400,524 and 619,959 is: 959,615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,524 : 619,959 = 619,959 : x
  2. Step 2: Convert to fraction form
    400,524/619,959 = 619,959/x
  3. Step 3: Cross multiply
    400,524x = 619,959 × 619,959
  4. Step 4: Simplify right side
    400,524x = 384,349,161,681
  5. Step 5: Solve for x
    x = 384,349,161,681/400,524
  6. Step 6: Final answer
    x = 959,615.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.