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Finding the Third Proportional to 625,890 and 850,209

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Solution

The third proportional to 625,890 and 850,209 is: 1,154,923.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,890 : 850,209 = 850,209 : x
  2. Step 2: Convert to fraction form
    625,890/850,209 = 850,209/x
  3. Step 3: Cross multiply
    625,890x = 850,209 × 850,209
  4. Step 4: Simplify right side
    625,890x = 722,855,343,681
  5. Step 5: Solve for x
    x = 722,855,343,681/625,890
  6. Step 6: Final answer
    x = 1,154,923.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.