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Finding the Third Proportional to 249,210 and 540,486

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Solution

The third proportional to 249,210 and 540,486 is: 1,172,204.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,210 : 540,486 = 540,486 : x
  2. Step 2: Convert to fraction form
    249,210/540,486 = 540,486/x
  3. Step 3: Cross multiply
    249,210x = 540,486 × 540,486
  4. Step 4: Simplify right side
    249,210x = 292,125,116,196
  5. Step 5: Solve for x
    x = 292,125,116,196/249,210
  6. Step 6: Final answer
    x = 1,172,204.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.