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Finding the Third Proportional to 249,512 and 545,680

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Solution

The third proportional to 249,512 and 545,680 is: 1,193,396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,512 : 545,680 = 545,680 : x
  2. Step 2: Convert to fraction form
    249,512/545,680 = 545,680/x
  3. Step 3: Cross multiply
    249,512x = 545,680 × 545,680
  4. Step 4: Simplify right side
    249,512x = 297,766,662,400
  5. Step 5: Solve for x
    x = 297,766,662,400/249,512
  6. Step 6: Final answer
    x = 1,193,396.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.