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Finding the Third Proportional to 2,361,776 and 3,314,040

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Solution

The third proportional to 2,361,776 and 3,314,040 is: 4,650,255.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,776 : 3,314,040 = 3,314,040 : x
  2. Step 2: Convert to fraction form
    2,361,776/3,314,040 = 3,314,040/x
  3. Step 3: Cross multiply
    2,361,776x = 3,314,040 × 3,314,040
  4. Step 4: Simplify right side
    2,361,776x = 10,982,861,121,600
  5. Step 5: Solve for x
    x = 10,982,861,121,600/2,361,776
  6. Step 6: Final answer
    x = 4,650,255.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.