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Finding the Third Proportional to 402,423.75 and 852,808.50

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Solution

The third proportional to 402,423.75 and 852,808.50 is: 1,807,255.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,423.75 : 852,808.50 = 852,808.50 : x
  2. Step 2: Convert to fraction form
    402,423.75/852,808.50 = 852,808.50/x
  3. Step 3: Cross multiply
    402,423.75x = 852,808.50 × 852,808.50
  4. Step 4: Simplify right side
    402,423.75x = 727,282,337,672.25
  5. Step 5: Solve for x
    x = 727,282,337,672.25/402,423.75
  6. Step 6: Final answer
    x = 1,807,255.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.