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Finding the Third Proportional to 249,939 and 357,162.75

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Solution

The third proportional to 249,939 and 357,162.75 is: 510,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,939 : 357,162.75 = 357,162.75 : x
  2. Step 2: Convert to fraction form
    249,939/357,162.75 = 357,162.75/x
  3. Step 3: Cross multiply
    249,939x = 357,162.75 × 357,162.75
  4. Step 4: Simplify right side
    249,939x = 127,565,229,987.56
  5. Step 5: Solve for x
    x = 127,565,229,987.56/249,939
  6. Step 6: Final answer
    x = 510,385.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.