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Finding the Third Proportional to 340,812 and 716,878

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Solution

The third proportional to 340,812 and 716,878 is: 1,507,910.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,812 : 716,878 = 716,878 : x
  2. Step 2: Convert to fraction form
    340,812/716,878 = 716,878/x
  3. Step 3: Cross multiply
    340,812x = 716,878 × 716,878
  4. Step 4: Simplify right side
    340,812x = 513,914,066,884
  5. Step 5: Solve for x
    x = 513,914,066,884/340,812
  6. Step 6: Final answer
    x = 1,507,910.72

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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.