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Finding the Third Proportional to 249,685 and 386,179

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Solution

The third proportional to 249,685 and 386,179 is: 597,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,685 : 386,179 = 386,179 : x
  2. Step 2: Convert to fraction form
    249,685/386,179 = 386,179/x
  3. Step 3: Cross multiply
    249,685x = 386,179 × 386,179
  4. Step 4: Simplify right side
    249,685x = 149,134,220,041
  5. Step 5: Solve for x
    x = 149,134,220,041/249,685
  6. Step 6: Final answer
    x = 597,289.46

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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.