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Finding the Third Proportional to 217,803 and 319,562

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Solution

The third proportional to 217,803 and 319,562 is: 468,863.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,803 : 319,562 = 319,562 : x
  2. Step 2: Convert to fraction form
    217,803/319,562 = 319,562/x
  3. Step 3: Cross multiply
    217,803x = 319,562 × 319,562
  4. Step 4: Simplify right side
    217,803x = 102,119,871,844
  5. Step 5: Solve for x
    x = 102,119,871,844/217,803
  6. Step 6: Final answer
    x = 468,863.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.