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Finding the Third Proportional to 258,643.13 and 565,400.25

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Solution

The third proportional to 258,643.13 and 565,400.25 is: 1,235,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,643.13 : 565,400.25 = 565,400.25 : x
  2. Step 2: Convert to fraction form
    258,643.13/565,400.25 = 565,400.25/x
  3. Step 3: Cross multiply
    258,643.13x = 565,400.25 × 565,400.25
  4. Step 4: Simplify right side
    258,643.13x = 319,677,442,700.06
  5. Step 5: Solve for x
    x = 319,677,442,700.06/258,643.13
  6. Step 6: Final answer
    x = 1,235,978.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.