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Finding the Third Proportional to 4,290,938.50 and 6,480,148.50

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Solution

The third proportional to 4,290,938.50 and 6,480,148.50 is: 9,786,279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290,938.50 : 6,480,148.50 = 6,480,148.50 : x
  2. Step 2: Convert to fraction form
    4,290,938.50/6,480,148.50 = 6,480,148.50/x
  3. Step 3: Cross multiply
    4,290,938.50x = 6,480,148.50 × 6,480,148.50
  4. Step 4: Simplify right side
    4,290,938.50x = 41,992,324,582,052.25
  5. Step 5: Solve for x
    x = 41,992,324,582,052.25/4,290,938.50
  6. Step 6: Final answer
    x = 9,786,279.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.