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Finding the Third Proportional to 201,865 and 313,457.50

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Solution

The third proportional to 201,865 and 313,457.50 is: 486,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,865 : 313,457.50 = 313,457.50 : x
  2. Step 2: Convert to fraction form
    201,865/313,457.50 = 313,457.50/x
  3. Step 3: Cross multiply
    201,865x = 313,457.50 × 313,457.50
  4. Step 4: Simplify right side
    201,865x = 98,255,604,306.25
  5. Step 5: Solve for x
    x = 98,255,604,306.25/201,865
  6. Step 6: Final answer
    x = 486,739.18

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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.