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Finding the Third Proportional to 249,298 and 386,751

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Solution

The third proportional to 249,298 and 386,751 is: 599,990.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,298 : 386,751 = 386,751 : x
  2. Step 2: Convert to fraction form
    249,298/386,751 = 386,751/x
  3. Step 3: Cross multiply
    249,298x = 386,751 × 386,751
  4. Step 4: Simplify right side
    249,298x = 149,576,336,001
  5. Step 5: Solve for x
    x = 149,576,336,001/249,298
  6. Step 6: Final answer
    x = 599,990.12

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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.