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Finding the Third Proportional to 553,298 and 878,331

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Solution

The third proportional to 553,298 and 878,331 is: 1,394,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,298 : 878,331 = 878,331 : x
  2. Step 2: Convert to fraction form
    553,298/878,331 = 878,331/x
  3. Step 3: Cross multiply
    553,298x = 878,331 × 878,331
  4. Step 4: Simplify right side
    553,298x = 771,465,345,561
  5. Step 5: Solve for x
    x = 771,465,345,561/553,298
  6. Step 6: Final answer
    x = 1,394,303.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.