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Finding the Third Proportional to 249,302 and 386,757

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Solution

The third proportional to 249,302 and 386,757 is: 599,999.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,302 : 386,757 = 386,757 : x
  2. Step 2: Convert to fraction form
    249,302/386,757 = 386,757/x
  3. Step 3: Cross multiply
    249,302x = 386,757 × 386,757
  4. Step 4: Simplify right side
    249,302x = 149,580,977,049
  5. Step 5: Solve for x
    x = 149,580,977,049/249,302
  6. Step 6: Final answer
    x = 599,999.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.