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Finding the Third Proportional to 249,208 and 386,520

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Solution

The third proportional to 249,208 and 386,520 is: 599,490.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,208 : 386,520 = 386,520 : x
  2. Step 2: Convert to fraction form
    249,208/386,520 = 386,520/x
  3. Step 3: Cross multiply
    249,208x = 386,520 × 386,520
  4. Step 4: Simplify right side
    249,208x = 149,397,710,400
  5. Step 5: Solve for x
    x = 149,397,710,400/249,208
  6. Step 6: Final answer
    x = 599,490.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.