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Finding the Third Proportional to 840,675 and 1,338,325.50

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Solution

The third proportional to 840,675 and 1,338,325.50 is: 2,130,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,675 : 1,338,325.50 = 1,338,325.50 : x
  2. Step 2: Convert to fraction form
    840,675/1,338,325.50 = 1,338,325.50/x
  3. Step 3: Cross multiply
    840,675x = 1,338,325.50 × 1,338,325.50
  4. Step 4: Simplify right side
    840,675x = 1,791,115,143,950.25
  5. Step 5: Solve for x
    x = 1,791,115,143,950.25/840,675
  6. Step 6: Final answer
    x = 2,130,567.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.