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Finding the Third Proportional to 144,393 and 224,443.50

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Solution

The third proportional to 144,393 and 224,443.50 is: 348,873.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,393 : 224,443.50 = 224,443.50 : x
  2. Step 2: Convert to fraction form
    144,393/224,443.50 = 224,443.50/x
  3. Step 3: Cross multiply
    144,393x = 224,443.50 × 224,443.50
  4. Step 4: Simplify right side
    144,393x = 50,374,884,692.25
  5. Step 5: Solve for x
    x = 50,374,884,692.25/144,393
  6. Step 6: Final answer
    x = 348,873.45

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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.