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Finding the Third Proportional to 103,074 and 218,784

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Solution

The third proportional to 103,074 and 218,784 is: 464,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,074 : 218,784 = 218,784 : x
  2. Step 2: Convert to fraction form
    103,074/218,784 = 218,784/x
  3. Step 3: Cross multiply
    103,074x = 218,784 × 218,784
  4. Step 4: Simplify right side
    103,074x = 47,866,438,656
  5. Step 5: Solve for x
    x = 47,866,438,656/103,074
  6. Step 6: Final answer
    x = 464,389.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.