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Finding the Third Proportional to 369,986 and 553,470

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Solution

The third proportional to 369,986 and 553,470 is: 827,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,986 : 553,470 = 553,470 : x
  2. Step 2: Convert to fraction form
    369,986/553,470 = 553,470/x
  3. Step 3: Cross multiply
    369,986x = 553,470 × 553,470
  4. Step 4: Simplify right side
    369,986x = 306,329,040,900
  5. Step 5: Solve for x
    x = 306,329,040,900/369,986
  6. Step 6: Final answer
    x = 827,947.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.