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Finding the Third Proportional to 862,020 and 1,299,591

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Solution

The third proportional to 862,020 and 1,299,591 is: 1,959,277.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,020 : 1,299,591 = 1,299,591 : x
  2. Step 2: Convert to fraction form
    862,020/1,299,591 = 1,299,591/x
  3. Step 3: Cross multiply
    862,020x = 1,299,591 × 1,299,591
  4. Step 4: Simplify right side
    862,020x = 1,688,936,767,281
  5. Step 5: Solve for x
    x = 1,688,936,767,281/862,020
  6. Step 6: Final answer
    x = 1,959,277.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.