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Finding the Third Proportional to 201,705 and 312,311.25

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Solution

The third proportional to 201,705 and 312,311.25 is: 483,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,705 : 312,311.25 = 312,311.25 : x
  2. Step 2: Convert to fraction form
    201,705/312,311.25 = 312,311.25/x
  3. Step 3: Cross multiply
    201,705x = 312,311.25 × 312,311.25
  4. Step 4: Simplify right side
    201,705x = 97,538,316,876.56
  5. Step 5: Solve for x
    x = 97,538,316,876.56/201,705
  6. Step 6: Final answer
    x = 483,569.16

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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.