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Finding the Third Proportional to 249,984 and 387,180

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Solution

The third proportional to 249,984 and 387,180 is: 599,671.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,984 : 387,180 = 387,180 : x
  2. Step 2: Convert to fraction form
    249,984/387,180 = 387,180/x
  3. Step 3: Cross multiply
    249,984x = 387,180 × 387,180
  4. Step 4: Simplify right side
    249,984x = 149,908,352,400
  5. Step 5: Solve for x
    x = 149,908,352,400/249,984
  6. Step 6: Final answer
    x = 599,671.79

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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.