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Finding the Third Proportional to 259,054.88 and 399,655.69

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Solution

The third proportional to 259,054.88 and 399,655.69 is: 616,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,054.88 : 399,655.69 = 399,655.69 : x
  2. Step 2: Convert to fraction form
    259,054.88/399,655.69 = 399,655.69/x
  3. Step 3: Cross multiply
    259,054.88x = 399,655.69 × 399,655.69
  4. Step 4: Simplify right side
    259,054.88x = 159,724,668,551.10
  5. Step 5: Solve for x
    x = 159,724,668,551.10/259,054.88
  6. Step 6: Final answer
    x = 616,566.93

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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.