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Finding the Third Proportional to 215,666.50 and 453,643

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Solution

The third proportional to 215,666.50 and 453,643 is: 954,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,666.50 : 453,643 = 453,643 : x
  2. Step 2: Convert to fraction form
    215,666.50/453,643 = 453,643/x
  3. Step 3: Cross multiply
    215,666.50x = 453,643 × 453,643
  4. Step 4: Simplify right side
    215,666.50x = 205,791,971,449
  5. Step 5: Solve for x
    x = 205,791,971,449/215,666.50
  6. Step 6: Final answer
    x = 954,213.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.