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Finding the Third Proportional to 249,999 and 387,203

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Solution

The third proportional to 249,999 and 387,203 is: 599,707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,999 : 387,203 = 387,203 : x
  2. Step 2: Convert to fraction form
    249,999/387,203 = 387,203/x
  3. Step 3: Cross multiply
    249,999x = 387,203 × 387,203
  4. Step 4: Simplify right side
    249,999x = 149,926,163,209
  5. Step 5: Solve for x
    x = 149,926,163,209/249,999
  6. Step 6: Final answer
    x = 599,707.05

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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.