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Finding the Third Proportional to 249,330 and 340,639

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Solution

The third proportional to 249,330 and 340,639 is: 465,386.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,330 : 340,639 = 340,639 : x
  2. Step 2: Convert to fraction form
    249,330/340,639 = 340,639/x
  3. Step 3: Cross multiply
    249,330x = 340,639 × 340,639
  4. Step 4: Simplify right side
    249,330x = 116,034,928,321
  5. Step 5: Solve for x
    x = 116,034,928,321/249,330
  6. Step 6: Final answer
    x = 465,386.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.