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Finding the Third Proportional to 861,972 and 1,364,220

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Solution

The third proportional to 861,972 and 1,364,220 is: 2,159,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,972 : 1,364,220 = 1,364,220 : x
  2. Step 2: Convert to fraction form
    861,972/1,364,220 = 1,364,220/x
  3. Step 3: Cross multiply
    861,972x = 1,364,220 × 1,364,220
  4. Step 4: Simplify right side
    861,972x = 1,861,096,208,400
  5. Step 5: Solve for x
    x = 1,861,096,208,400/861,972
  6. Step 6: Final answer
    x = 2,159,114.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.