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Finding the Third Proportional to 310,775 and 680,608

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Solution

The third proportional to 310,775 and 680,608 is: 1,490,555.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,775 : 680,608 = 680,608 : x
  2. Step 2: Convert to fraction form
    310,775/680,608 = 680,608/x
  3. Step 3: Cross multiply
    310,775x = 680,608 × 680,608
  4. Step 4: Simplify right side
    310,775x = 463,227,249,664
  5. Step 5: Solve for x
    x = 463,227,249,664/310,775
  6. Step 6: Final answer
    x = 1,490,555.06

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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.