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Finding the Third Proportional to 314,432 and 678,653

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Solution

The third proportional to 314,432 and 678,653 is: 1,464,767.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,432 : 678,653 = 678,653 : x
  2. Step 2: Convert to fraction form
    314,432/678,653 = 678,653/x
  3. Step 3: Cross multiply
    314,432x = 678,653 × 678,653
  4. Step 4: Simplify right side
    314,432x = 460,569,894,409
  5. Step 5: Solve for x
    x = 460,569,894,409/314,432
  6. Step 6: Final answer
    x = 1,464,767.88

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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.