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Finding the Third Proportional to 257,109 and 553,728.50

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Solution

The third proportional to 257,109 and 553,728.50 is: 1,192,549.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,109 : 553,728.50 = 553,728.50 : x
  2. Step 2: Convert to fraction form
    257,109/553,728.50 = 553,728.50/x
  3. Step 3: Cross multiply
    257,109x = 553,728.50 × 553,728.50
  4. Step 4: Simplify right side
    257,109x = 306,615,251,712.25
  5. Step 5: Solve for x
    x = 306,615,251,712.25/257,109
  6. Step 6: Final answer
    x = 1,192,549.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.