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Finding the Third Proportional to 249,837.75 and 328,016.25

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Solution

The third proportional to 249,837.75 and 328,016.25 is: 430,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,837.75 : 328,016.25 = 328,016.25 : x
  2. Step 2: Convert to fraction form
    249,837.75/328,016.25 = 328,016.25/x
  3. Step 3: Cross multiply
    249,837.75x = 328,016.25 × 328,016.25
  4. Step 4: Simplify right side
    249,837.75x = 107,594,660,264.06
  5. Step 5: Solve for x
    x = 107,594,660,264.06/249,837.75
  6. Step 6: Final answer
    x = 430,658.14

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.