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Finding the Third Proportional to 213,931.13 and 328,856.63

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Solution

The third proportional to 213,931.13 and 328,856.63 is: 505,521.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,931.13 : 328,856.63 = 328,856.63 : x
  2. Step 2: Convert to fraction form
    213,931.13/328,856.63 = 328,856.63/x
  3. Step 3: Cross multiply
    213,931.13x = 328,856.63 × 328,856.63
  4. Step 4: Simplify right side
    213,931.13x = 108,146,679,806.39
  5. Step 5: Solve for x
    x = 108,146,679,806.39/213,931.13
  6. Step 6: Final answer
    x = 505,521.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.