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Finding the Third Proportional to 433,158 and 666,652.50

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Solution

The third proportional to 433,158 and 666,652.50 is: 1,026,012.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,158 : 666,652.50 = 666,652.50 : x
  2. Step 2: Convert to fraction form
    433,158/666,652.50 = 666,652.50/x
  3. Step 3: Cross multiply
    433,158x = 666,652.50 × 666,652.50
  4. Step 4: Simplify right side
    433,158x = 444,425,555,756.25
  5. Step 5: Solve for x
    x = 444,425,555,756.25/433,158
  6. Step 6: Final answer
    x = 1,026,012.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.