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Finding the Third Proportional to 9,865 and 20,457.50

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Solution

The third proportional to 9,865 and 20,457.50 is: 42,423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865 : 20,457.50 = 20,457.50 : x
  2. Step 2: Convert to fraction form
    9,865/20,457.50 = 20,457.50/x
  3. Step 3: Cross multiply
    9,865x = 20,457.50 × 20,457.50
  4. Step 4: Simplify right side
    9,865x = 418,509,306.25
  5. Step 5: Solve for x
    x = 418,509,306.25/9,865
  6. Step 6: Final answer
    x = 42,423.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.