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Finding the Third Proportional to 249,999.50 and 387,203.75

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Solution

The third proportional to 249,999.50 and 387,203.75 is: 599,708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,999.50 : 387,203.75 = 387,203.75 : x
  2. Step 2: Convert to fraction form
    249,999.50/387,203.75 = 387,203.75/x
  3. Step 3: Cross multiply
    249,999.50x = 387,203.75 × 387,203.75
  4. Step 4: Simplify right side
    249,999.50x = 149,926,744,014.06
  5. Step 5: Solve for x
    x = 149,926,744,014.06/249,999.50
  6. Step 6: Final answer
    x = 599,708.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.