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Finding the Third Proportional to 783,686.50 and 1,103,603

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Solution

The third proportional to 783,686.50 and 1,103,603 is: 1,554,115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,686.50 : 1,103,603 = 1,103,603 : x
  2. Step 2: Convert to fraction form
    783,686.50/1,103,603 = 1,103,603/x
  3. Step 3: Cross multiply
    783,686.50x = 1,103,603 × 1,103,603
  4. Step 4: Simplify right side
    783,686.50x = 1,217,939,581,609
  5. Step 5: Solve for x
    x = 1,217,939,581,609/783,686.50
  6. Step 6: Final answer
    x = 1,554,115.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.