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Finding the Third Proportional to 435,395 and 672,510

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Solution

The third proportional to 435,395 and 672,510 is: 1,038,757.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,395 : 672,510 = 672,510 : x
  2. Step 2: Convert to fraction form
    435,395/672,510 = 672,510/x
  3. Step 3: Cross multiply
    435,395x = 672,510 × 672,510
  4. Step 4: Simplify right side
    435,395x = 452,269,700,100
  5. Step 5: Solve for x
    x = 452,269,700,100/435,395
  6. Step 6: Final answer
    x = 1,038,757.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.