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Finding the Third Proportional to 249,300 and 386,754

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Solution

The third proportional to 249,300 and 386,754 is: 599,994.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,300 : 386,754 = 386,754 : x
  2. Step 2: Convert to fraction form
    249,300/386,754 = 386,754/x
  3. Step 3: Cross multiply
    249,300x = 386,754 × 386,754
  4. Step 4: Simplify right side
    249,300x = 149,578,656,516
  5. Step 5: Solve for x
    x = 149,578,656,516/249,300
  6. Step 6: Final answer
    x = 599,994.61

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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.