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Finding the Third Proportional to 242,140.50 and 478,098

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Solution

The third proportional to 242,140.50 and 478,098 is: 943,987.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,140.50 : 478,098 = 478,098 : x
  2. Step 2: Convert to fraction form
    242,140.50/478,098 = 478,098/x
  3. Step 3: Cross multiply
    242,140.50x = 478,098 × 478,098
  4. Step 4: Simplify right side
    242,140.50x = 228,577,697,604
  5. Step 5: Solve for x
    x = 228,577,697,604/242,140.50
  6. Step 6: Final answer
    x = 943,987.88

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.