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Finding the Third Proportional to 646,920 and 1,403,797.50

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Solution

The third proportional to 646,920 and 1,403,797.50 is: 3,046,199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,920 : 1,403,797.50 = 1,403,797.50 : x
  2. Step 2: Convert to fraction form
    646,920/1,403,797.50 = 1,403,797.50/x
  3. Step 3: Cross multiply
    646,920x = 1,403,797.50 × 1,403,797.50
  4. Step 4: Simplify right side
    646,920x = 1,970,647,421,006.25
  5. Step 5: Solve for x
    x = 1,970,647,421,006.25/646,920
  6. Step 6: Final answer
    x = 3,046,199.56

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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.