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Finding the Third Proportional to 242,838 and 361,766.25

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Solution

The third proportional to 242,838 and 361,766.25 is: 538,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,838 : 361,766.25 = 361,766.25 : x
  2. Step 2: Convert to fraction form
    242,838/361,766.25 = 361,766.25/x
  3. Step 3: Cross multiply
    242,838x = 361,766.25 × 361,766.25
  4. Step 4: Simplify right side
    242,838x = 130,874,819,639.06
  5. Step 5: Solve for x
    x = 130,874,819,639.06/242,838
  6. Step 6: Final answer
    x = 538,938.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.