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Finding the Third Proportional to 329,253.61 and 718,330.78

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Solution

The third proportional to 329,253.61 and 718,330.78 is: 1,567,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,253.61 : 718,330.78 = 718,330.78 : x
  2. Step 2: Convert to fraction form
    329,253.61/718,330.78 = 718,330.78/x
  3. Step 3: Cross multiply
    329,253.61x = 718,330.78 × 718,330.78
  4. Step 4: Simplify right side
    329,253.61x = 515,999,111,291.24
  5. Step 5: Solve for x
    x = 515,999,111,291.24/329,253.61
  6. Step 6: Final answer
    x = 1,567,178.30

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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.