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Finding the Third Proportional to 319,143 and 691,476

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Solution

The third proportional to 319,143 and 691,476 is: 1,498,196.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,143 : 691,476 = 691,476 : x
  2. Step 2: Convert to fraction form
    319,143/691,476 = 691,476/x
  3. Step 3: Cross multiply
    319,143x = 691,476 × 691,476
  4. Step 4: Simplify right side
    319,143x = 478,139,058,576
  5. Step 5: Solve for x
    x = 478,139,058,576/319,143
  6. Step 6: Final answer
    x = 1,498,196.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.