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Finding the Third Proportional to 201,816 and 312,565

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Solution

The third proportional to 201,816 and 312,565 is: 484,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,816 : 312,565 = 312,565 : x
  2. Step 2: Convert to fraction form
    201,816/312,565 = 312,565/x
  3. Step 3: Cross multiply
    201,816x = 312,565 × 312,565
  4. Step 4: Simplify right side
    201,816x = 97,696,879,225
  5. Step 5: Solve for x
    x = 97,696,879,225/201,816
  6. Step 6: Final answer
    x = 484,088.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.