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Finding the Third Proportional to 453,750 and 987,510

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Solution

The third proportional to 453,750 and 987,510 is: 2,149,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,750 : 987,510 = 987,510 : x
  2. Step 2: Convert to fraction form
    453,750/987,510 = 987,510/x
  3. Step 3: Cross multiply
    453,750x = 987,510 × 987,510
  4. Step 4: Simplify right side
    453,750x = 975,176,000,100
  5. Step 5: Solve for x
    x = 975,176,000,100/453,750
  6. Step 6: Final answer
    x = 2,149,148.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.