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Finding the Third Proportional to 314,574 and 678,972

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Solution

The third proportional to 314,574 and 678,972 is: 1,465,483.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,574 : 678,972 = 678,972 : x
  2. Step 2: Convert to fraction form
    314,574/678,972 = 678,972/x
  3. Step 3: Cross multiply
    314,574x = 678,972 × 678,972
  4. Step 4: Simplify right side
    314,574x = 461,002,976,784
  5. Step 5: Solve for x
    x = 461,002,976,784/314,574
  6. Step 6: Final answer
    x = 1,465,483.41

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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.