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Finding the Third Proportional to 402,104 and 865,988

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Solution

The third proportional to 402,104 and 865,988 is: 1,865,027.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,104 : 865,988 = 865,988 : x
  2. Step 2: Convert to fraction form
    402,104/865,988 = 865,988/x
  3. Step 3: Cross multiply
    402,104x = 865,988 × 865,988
  4. Step 4: Simplify right side
    402,104x = 749,935,216,144
  5. Step 5: Solve for x
    x = 749,935,216,144/402,104
  6. Step 6: Final answer
    x = 1,865,027.99

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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.