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Finding the Third Proportional to 450,904.50 and 675,114.75

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Solution

The third proportional to 450,904.50 and 675,114.75 is: 1,010,812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,904.50 : 675,114.75 = 675,114.75 : x
  2. Step 2: Convert to fraction form
    450,904.50/675,114.75 = 675,114.75/x
  3. Step 3: Cross multiply
    450,904.50x = 675,114.75 × 675,114.75
  4. Step 4: Simplify right side
    450,904.50x = 455,779,925,667.56
  5. Step 5: Solve for x
    x = 455,779,925,667.56/450,904.50
  6. Step 6: Final answer
    x = 1,010,812.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.