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Finding the Third Proportional to 410,039 and 887,470

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Solution

The third proportional to 410,039 and 887,470 is: 1,920,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,039 : 887,470 = 887,470 : x
  2. Step 2: Convert to fraction form
    410,039/887,470 = 887,470/x
  3. Step 3: Cross multiply
    410,039x = 887,470 × 887,470
  4. Step 4: Simplify right side
    410,039x = 787,603,000,900
  5. Step 5: Solve for x
    x = 787,603,000,900/410,039
  6. Step 6: Final answer
    x = 1,920,800.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.