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Finding the Third Proportional to 563,040 and 873,129

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Solution

The third proportional to 563,040 and 873,129 is: 1,353,996.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,040 : 873,129 = 873,129 : x
  2. Step 2: Convert to fraction form
    563,040/873,129 = 873,129/x
  3. Step 3: Cross multiply
    563,040x = 873,129 × 873,129
  4. Step 4: Simplify right side
    563,040x = 762,354,250,641
  5. Step 5: Solve for x
    x = 762,354,250,641/563,040
  6. Step 6: Final answer
    x = 1,353,996.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.