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Finding the Third Proportional to 314,276 and 678,352

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Solution

The third proportional to 314,276 and 678,352 is: 1,464,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,276 : 678,352 = 678,352 : x
  2. Step 2: Convert to fraction form
    314,276/678,352 = 678,352/x
  3. Step 3: Cross multiply
    314,276x = 678,352 × 678,352
  4. Step 4: Simplify right side
    314,276x = 460,161,435,904
  5. Step 5: Solve for x
    x = 460,161,435,904/314,276
  6. Step 6: Final answer
    x = 1,464,195.28

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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.