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Finding the Third Proportional to 687,102.75 and 1,038,187.13

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Solution

The third proportional to 687,102.75 and 1,038,187.13 is: 1,568,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,102.75 : 1,038,187.13 = 1,038,187.13 : x
  2. Step 2: Convert to fraction form
    687,102.75/1,038,187.13 = 1,038,187.13/x
  3. Step 3: Cross multiply
    687,102.75x = 1,038,187.13 × 1,038,187.13
  4. Step 4: Simplify right side
    687,102.75x = 1,077,832,506,515.77
  5. Step 5: Solve for x
    x = 1,077,832,506,515.77/687,102.75
  6. Step 6: Final answer
    x = 1,568,662.77

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Why These Related Problems?

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