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Finding the Third Proportional to 258,109.88 and 607,267.13

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Solution

The third proportional to 258,109.88 and 607,267.13 is: 1,428,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,109.88 : 607,267.13 = 607,267.13 : x
  2. Step 2: Convert to fraction form
    258,109.88/607,267.13 = 607,267.13/x
  3. Step 3: Cross multiply
    258,109.88x = 607,267.13 × 607,267.13
  4. Step 4: Simplify right side
    258,109.88x = 368,773,361,105.77
  5. Step 5: Solve for x
    x = 368,773,361,105.77/258,109.88
  6. Step 6: Final answer
    x = 1,428,745.65

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.