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Finding the Third Proportional to 249,538 and 386,340

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Solution

The third proportional to 249,538 and 386,340 is: 598,139.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,538 : 386,340 = 386,340 : x
  2. Step 2: Convert to fraction form
    249,538/386,340 = 386,340/x
  3. Step 3: Cross multiply
    249,538x = 386,340 × 386,340
  4. Step 4: Simplify right side
    249,538x = 149,258,595,600
  5. Step 5: Solve for x
    x = 149,258,595,600/249,538
  6. Step 6: Final answer
    x = 598,139.74

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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.