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Finding the Third Proportional to 802,120.50 and 1,742,571

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Solution

The third proportional to 802,120.50 and 1,742,571 is: 3,785,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,120.50 : 1,742,571 = 1,742,571 : x
  2. Step 2: Convert to fraction form
    802,120.50/1,742,571 = 1,742,571/x
  3. Step 3: Cross multiply
    802,120.50x = 1,742,571 × 1,742,571
  4. Step 4: Simplify right side
    802,120.50x = 3,036,553,690,041
  5. Step 5: Solve for x
    x = 3,036,553,690,041/802,120.50
  6. Step 6: Final answer
    x = 3,785,657.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.