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Finding the Third Proportional to 402,127 and 866,036

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Solution

The third proportional to 402,127 and 866,036 is: 1,865,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,127 : 866,036 = 866,036 : x
  2. Step 2: Convert to fraction form
    402,127/866,036 = 866,036/x
  3. Step 3: Cross multiply
    402,127x = 866,036 × 866,036
  4. Step 4: Simplify right side
    402,127x = 750,018,353,296
  5. Step 5: Solve for x
    x = 750,018,353,296/402,127
  6. Step 6: Final answer
    x = 1,865,128.06

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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.