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Finding the Third Proportional to 249,320 and 513,342

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Solution

The third proportional to 249,320 and 513,342 is: 1,056,954.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,320 : 513,342 = 513,342 : x
  2. Step 2: Convert to fraction form
    249,320/513,342 = 513,342/x
  3. Step 3: Cross multiply
    249,320x = 513,342 × 513,342
  4. Step 4: Simplify right side
    249,320x = 263,520,008,964
  5. Step 5: Solve for x
    x = 263,520,008,964/249,320
  6. Step 6: Final answer
    x = 1,056,954.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.