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Finding the Third Proportional to 520,085 and 1,118,902

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Solution

The third proportional to 520,085 and 1,118,902 is: 2,407,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,085 : 1,118,902 = 1,118,902 : x
  2. Step 2: Convert to fraction form
    520,085/1,118,902 = 1,118,902/x
  3. Step 3: Cross multiply
    520,085x = 1,118,902 × 1,118,902
  4. Step 4: Simplify right side
    520,085x = 1,251,941,685,604
  5. Step 5: Solve for x
    x = 1,251,941,685,604/520,085
  6. Step 6: Final answer
    x = 2,407,186.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.