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Finding the Third Proportional to 678,425 and 1,054,983

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Solution

The third proportional to 678,425 and 1,054,983 is: 1,640,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,425 : 1,054,983 = 1,054,983 : x
  2. Step 2: Convert to fraction form
    678,425/1,054,983 = 1,054,983/x
  3. Step 3: Cross multiply
    678,425x = 1,054,983 × 1,054,983
  4. Step 4: Simplify right side
    678,425x = 1,112,989,130,289
  5. Step 5: Solve for x
    x = 1,112,989,130,289/678,425
  6. Step 6: Final answer
    x = 1,640,548.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.