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Finding the Third Proportional to 402,475.50 and 852,916.50

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Solution

The third proportional to 402,475.50 and 852,916.50 is: 1,807,480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,475.50 : 852,916.50 = 852,916.50 : x
  2. Step 2: Convert to fraction form
    402,475.50/852,916.50 = 852,916.50/x
  3. Step 3: Cross multiply
    402,475.50x = 852,916.50 × 852,916.50
  4. Step 4: Simplify right side
    402,475.50x = 727,466,555,972.25
  5. Step 5: Solve for x
    x = 727,466,555,972.25/402,475.50
  6. Step 6: Final answer
    x = 1,807,480.35

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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.