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Finding the Third Proportional to 2,140,396.50 and 3,139,638

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Solution

The third proportional to 2,140,396.50 and 3,139,638 is: 4,605,374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,396.50 : 3,139,638 = 3,139,638 : x
  2. Step 2: Convert to fraction form
    2,140,396.50/3,139,638 = 3,139,638/x
  3. Step 3: Cross multiply
    2,140,396.50x = 3,139,638 × 3,139,638
  4. Step 4: Simplify right side
    2,140,396.50x = 9,857,326,771,044
  5. Step 5: Solve for x
    x = 9,857,326,771,044/2,140,396.50
  6. Step 6: Final answer
    x = 4,605,374.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.