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Finding the Third Proportional to 201,808 and 312,461

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Solution

The third proportional to 201,808 and 312,461 is: 483,785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,808 : 312,461 = 312,461 : x
  2. Step 2: Convert to fraction form
    201,808/312,461 = 312,461/x
  3. Step 3: Cross multiply
    201,808x = 312,461 × 312,461
  4. Step 4: Simplify right side
    201,808x = 97,631,876,521
  5. Step 5: Solve for x
    x = 97,631,876,521/201,808
  6. Step 6: Final answer
    x = 483,785.96

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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.