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Finding the Third Proportional to 314,454 and 678,708

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Solution

The third proportional to 314,454 and 678,708 is: 1,464,902.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,454 : 678,708 = 678,708 : x
  2. Step 2: Convert to fraction form
    314,454/678,708 = 678,708/x
  3. Step 3: Cross multiply
    314,454x = 678,708 × 678,708
  4. Step 4: Simplify right side
    314,454x = 460,644,549,264
  5. Step 5: Solve for x
    x = 460,644,549,264/314,454
  6. Step 6: Final answer
    x = 1,464,902.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.