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Finding the Third Proportional to 403,287.75 and 619,031.25

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Solution

The third proportional to 403,287.75 and 619,031.25 is: 950,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,287.75 : 619,031.25 = 619,031.25 : x
  2. Step 2: Convert to fraction form
    403,287.75/619,031.25 = 619,031.25/x
  3. Step 3: Cross multiply
    403,287.75x = 619,031.25 × 619,031.25
  4. Step 4: Simplify right side
    403,287.75x = 383,199,688,476.56
  5. Step 5: Solve for x
    x = 383,199,688,476.56/403,287.75
  6. Step 6: Final answer
    x = 950,189.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.