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Finding the Third Proportional to 389,519.72 and 598,349.95

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Solution

The third proportional to 389,519.72 and 598,349.95 is: 919,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,519.72 : 598,349.95 = 598,349.95 : x
  2. Step 2: Convert to fraction form
    389,519.72/598,349.95 = 598,349.95/x
  3. Step 3: Cross multiply
    389,519.72x = 598,349.95 × 598,349.95
  4. Step 4: Simplify right side
    389,519.72x = 358,022,666,404.69
  5. Step 5: Solve for x
    x = 358,022,666,404.69/389,519.72
  6. Step 6: Final answer
    x = 919,138.75

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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.