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Finding the Third Proportional to 301,449 and 663,619.50

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Solution

The third proportional to 301,449 and 663,619.50 is: 1,460,913.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,449 : 663,619.50 = 663,619.50 : x
  2. Step 2: Convert to fraction form
    301,449/663,619.50 = 663,619.50/x
  3. Step 3: Cross multiply
    301,449x = 663,619.50 × 663,619.50
  4. Step 4: Simplify right side
    301,449x = 440,390,840,780.25
  5. Step 5: Solve for x
    x = 440,390,840,780.25/301,449
  6. Step 6: Final answer
    x = 1,460,913.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.