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Finding the Third Proportional to 310,959 and 653,249.81

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Solution

The third proportional to 310,959 and 653,249.81 is: 1,372,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,959 : 653,249.81 = 653,249.81 : x
  2. Step 2: Convert to fraction form
    310,959/653,249.81 = 653,249.81/x
  3. Step 3: Cross multiply
    310,959x = 653,249.81 × 653,249.81
  4. Step 4: Simplify right side
    310,959x = 426,735,317,531.29
  5. Step 5: Solve for x
    x = 426,735,317,531.29/310,959
  6. Step 6: Final answer
    x = 1,372,320.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.