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Finding the Third Proportional to 739,178 and 1,115,431

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Solution

The third proportional to 739,178 and 1,115,431 is: 1,683,202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,178 : 1,115,431 = 1,115,431 : x
  2. Step 2: Convert to fraction form
    739,178/1,115,431 = 1,115,431/x
  3. Step 3: Cross multiply
    739,178x = 1,115,431 × 1,115,431
  4. Step 4: Simplify right side
    739,178x = 1,244,186,315,761
  5. Step 5: Solve for x
    x = 1,244,186,315,761/739,178
  6. Step 6: Final answer
    x = 1,683,202.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.