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Finding the Third Proportional to 402,124.50 and 866,031.75

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Solution

The third proportional to 402,124.50 and 866,031.75 is: 1,865,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,124.50 : 866,031.75 = 866,031.75 : x
  2. Step 2: Convert to fraction form
    402,124.50/866,031.75 = 866,031.75/x
  3. Step 3: Cross multiply
    402,124.50x = 866,031.75 × 866,031.75
  4. Step 4: Simplify right side
    402,124.50x = 750,010,992,008.06
  5. Step 5: Solve for x
    x = 750,010,992,008.06/402,124.50
  6. Step 6: Final answer
    x = 1,865,121.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.