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Finding the Third Proportional to 122,320 and 249,824

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Solution

The third proportional to 122,320 and 249,824 is: 510,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,320 : 249,824 = 249,824 : x
  2. Step 2: Convert to fraction form
    122,320/249,824 = 249,824/x
  3. Step 3: Cross multiply
    122,320x = 249,824 × 249,824
  4. Step 4: Simplify right side
    122,320x = 62,412,030,976
  5. Step 5: Solve for x
    x = 62,412,030,976/122,320
  6. Step 6: Final answer
    x = 510,235.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.