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Finding the Third Proportional to 210,718.13 and 330,196.50

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Solution

The third proportional to 210,718.13 and 330,196.50 is: 517,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,718.13 : 330,196.50 = 330,196.50 : x
  2. Step 2: Convert to fraction form
    210,718.13/330,196.50 = 330,196.50/x
  3. Step 3: Cross multiply
    210,718.13x = 330,196.50 × 330,196.50
  4. Step 4: Simplify right side
    210,718.13x = 109,029,728,612.25
  5. Step 5: Solve for x
    x = 109,029,728,612.25/210,718.13
  6. Step 6: Final answer
    x = 517,419.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.