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Finding the Third Proportional to 310,420 and 677,702

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Solution

The third proportional to 310,420 and 677,702 is: 1,479,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,420 : 677,702 = 677,702 : x
  2. Step 2: Convert to fraction form
    310,420/677,702 = 677,702/x
  3. Step 3: Cross multiply
    310,420x = 677,702 × 677,702
  4. Step 4: Simplify right side
    310,420x = 459,280,000,804
  5. Step 5: Solve for x
    x = 459,280,000,804/310,420
  6. Step 6: Final answer
    x = 1,479,543.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.