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Finding the Third Proportional to 561,440 and 862,985

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Solution

The third proportional to 561,440 and 862,985 is: 1,326,487.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,440 : 862,985 = 862,985 : x
  2. Step 2: Convert to fraction form
    561,440/862,985 = 862,985/x
  3. Step 3: Cross multiply
    561,440x = 862,985 × 862,985
  4. Step 4: Simplify right side
    561,440x = 744,743,110,225
  5. Step 5: Solve for x
    x = 744,743,110,225/561,440
  6. Step 6: Final answer
    x = 1,326,487.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.