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Finding the Third Proportional to 370,418 and 553,434

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Solution

The third proportional to 370,418 and 553,434 is: 826,874.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,418 : 553,434 = 553,434 : x
  2. Step 2: Convert to fraction form
    370,418/553,434 = 553,434/x
  3. Step 3: Cross multiply
    370,418x = 553,434 × 553,434
  4. Step 4: Simplify right side
    370,418x = 306,289,192,356
  5. Step 5: Solve for x
    x = 306,289,192,356/370,418
  6. Step 6: Final answer
    x = 826,874.48

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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.