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Finding the Third Proportional to 402,148 and 866,076

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Solution

The third proportional to 402,148 and 866,076 is: 1,865,202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,148 : 866,076 = 866,076 : x
  2. Step 2: Convert to fraction form
    402,148/866,076 = 866,076/x
  3. Step 3: Cross multiply
    402,148x = 866,076 × 866,076
  4. Step 4: Simplify right side
    402,148x = 750,087,637,776
  5. Step 5: Solve for x
    x = 750,087,637,776/402,148
  6. Step 6: Final answer
    x = 1,865,202.95

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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.