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Finding the Third Proportional to 420,633 and 611,752.50

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Solution

The third proportional to 420,633 and 611,752.50 is: 889,709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,633 : 611,752.50 = 611,752.50 : x
  2. Step 2: Convert to fraction form
    420,633/611,752.50 = 611,752.50/x
  3. Step 3: Cross multiply
    420,633x = 611,752.50 × 611,752.50
  4. Step 4: Simplify right side
    420,633x = 374,241,121,256.25
  5. Step 5: Solve for x
    x = 374,241,121,256.25/420,633
  6. Step 6: Final answer
    x = 889,709.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.