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Finding the Third Proportional to 553,552.50 and 827,447

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Solution

The third proportional to 553,552.50 and 827,447 is: 1,236,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,552.50 : 827,447 = 827,447 : x
  2. Step 2: Convert to fraction form
    553,552.50/827,447 = 827,447/x
  3. Step 3: Cross multiply
    553,552.50x = 827,447 × 827,447
  4. Step 4: Simplify right side
    553,552.50x = 684,668,537,809
  5. Step 5: Solve for x
    x = 684,668,537,809/553,552.50
  6. Step 6: Final answer
    x = 1,236,862.88

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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.