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Finding the Third Proportional to 120,073.50 and 258,363

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Solution

The third proportional to 120,073.50 and 258,363 is: 555,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,073.50 : 258,363 = 258,363 : x
  2. Step 2: Convert to fraction form
    120,073.50/258,363 = 258,363/x
  3. Step 3: Cross multiply
    120,073.50x = 258,363 × 258,363
  4. Step 4: Simplify right side
    120,073.50x = 66,751,439,769
  5. Step 5: Solve for x
    x = 66,751,439,769/120,073.50
  6. Step 6: Final answer
    x = 555,921.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.