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Finding the Third Proportional to 687,765.16 and 1,508,390.56

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Solution

The third proportional to 687,765.16 and 1,508,390.56 is: 3,308,167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,765.16 : 1,508,390.56 = 1,508,390.56 : x
  2. Step 2: Convert to fraction form
    687,765.16/1,508,390.56 = 1,508,390.56/x
  3. Step 3: Cross multiply
    687,765.16x = 1,508,390.56 × 1,508,390.56
  4. Step 4: Simplify right side
    687,765.16x = 2,275,242,089,039.07
  5. Step 5: Solve for x
    x = 2,275,242,089,039.07/687,765.16
  6. Step 6: Final answer
    x = 3,308,167.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.