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Finding the Third Proportional to 249,328 and 540,448

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Solution

The third proportional to 249,328 and 540,448 is: 1,171,485.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,328 : 540,448 = 540,448 : x
  2. Step 2: Convert to fraction form
    249,328/540,448 = 540,448/x
  3. Step 3: Cross multiply
    249,328x = 540,448 × 540,448
  4. Step 4: Simplify right side
    249,328x = 292,084,040,704
  5. Step 5: Solve for x
    x = 292,084,040,704/249,328
  6. Step 6: Final answer
    x = 1,171,485.11

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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.