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Finding the Third Proportional to 249,960 and 387,145

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Solution

The third proportional to 249,960 and 387,145 is: 599,620.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,960 : 387,145 = 387,145 : x
  2. Step 2: Convert to fraction form
    249,960/387,145 = 387,145/x
  3. Step 3: Cross multiply
    249,960x = 387,145 × 387,145
  4. Step 4: Simplify right side
    249,960x = 149,881,251,025
  5. Step 5: Solve for x
    x = 149,881,251,025/249,960
  6. Step 6: Final answer
    x = 599,620.94

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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.