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Finding the Third Proportional to 458,869.50 and 991,579.50

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Solution

The third proportional to 458,869.50 and 991,579.50 is: 2,142,722.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,869.50 : 991,579.50 = 991,579.50 : x
  2. Step 2: Convert to fraction form
    458,869.50/991,579.50 = 991,579.50/x
  3. Step 3: Cross multiply
    458,869.50x = 991,579.50 × 991,579.50
  4. Step 4: Simplify right side
    458,869.50x = 983,229,904,820.25
  5. Step 5: Solve for x
    x = 983,229,904,820.25/458,869.50
  6. Step 6: Final answer
    x = 2,142,722.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.