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Finding the Third Proportional to 314,431 and 678,659

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Solution

The third proportional to 314,431 and 678,659 is: 1,464,798.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,431 : 678,659 = 678,659 : x
  2. Step 2: Convert to fraction form
    314,431/678,659 = 678,659/x
  3. Step 3: Cross multiply
    314,431x = 678,659 × 678,659
  4. Step 4: Simplify right side
    314,431x = 460,578,038,281
  5. Step 5: Solve for x
    x = 460,578,038,281/314,431
  6. Step 6: Final answer
    x = 1,464,798.44

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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.