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Finding the Third Proportional to 249,149 and 531,517

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Solution

The third proportional to 249,149 and 531,517 is: 1,133,901.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,149 : 531,517 = 531,517 : x
  2. Step 2: Convert to fraction form
    249,149/531,517 = 531,517/x
  3. Step 3: Cross multiply
    249,149x = 531,517 × 531,517
  4. Step 4: Simplify right side
    249,149x = 282,510,321,289
  5. Step 5: Solve for x
    x = 282,510,321,289/249,149
  6. Step 6: Final answer
    x = 1,133,901.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.