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Finding the Third Proportional to 285,122 and 662,985

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Solution

The third proportional to 285,122 and 662,985 is: 1,541,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,122 : 662,985 = 662,985 : x
  2. Step 2: Convert to fraction form
    285,122/662,985 = 662,985/x
  3. Step 3: Cross multiply
    285,122x = 662,985 × 662,985
  4. Step 4: Simplify right side
    285,122x = 439,549,110,225
  5. Step 5: Solve for x
    x = 439,549,110,225/285,122
  6. Step 6: Final answer
    x = 1,541,617.66

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.