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Finding the Third Proportional to 249,958 and 387,142

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Solution

The third proportional to 249,958 and 387,142 is: 599,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,958 : 387,142 = 387,142 : x
  2. Step 2: Convert to fraction form
    249,958/387,142 = 387,142/x
  3. Step 3: Cross multiply
    249,958x = 387,142 × 387,142
  4. Step 4: Simplify right side
    249,958x = 149,878,928,164
  5. Step 5: Solve for x
    x = 149,878,928,164/249,958
  6. Step 6: Final answer
    x = 599,616.45

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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.