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Finding the Third Proportional to 569,390 and 873,115

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Solution

The third proportional to 569,390 and 873,115 is: 1,338,853.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,390 : 873,115 = 873,115 : x
  2. Step 2: Convert to fraction form
    569,390/873,115 = 873,115/x
  3. Step 3: Cross multiply
    569,390x = 873,115 × 873,115
  4. Step 4: Simplify right side
    569,390x = 762,329,803,225
  5. Step 5: Solve for x
    x = 762,329,803,225/569,390
  6. Step 6: Final answer
    x = 1,338,853.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.