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Finding the Third Proportional to 310,774 and 680,606

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Solution

The third proportional to 310,774 and 680,606 is: 1,490,551.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,774 : 680,606 = 680,606 : x
  2. Step 2: Convert to fraction form
    310,774/680,606 = 680,606/x
  3. Step 3: Cross multiply
    310,774x = 680,606 × 680,606
  4. Step 4: Simplify right side
    310,774x = 463,224,527,236
  5. Step 5: Solve for x
    x = 463,224,527,236/310,774
  6. Step 6: Final answer
    x = 1,490,551.10

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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.