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Finding the Third Proportional to 9,405 and 12,547.50

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Solution

The third proportional to 9,405 and 12,547.50 is: 16,740.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405 : 12,547.50 = 12,547.50 : x
  2. Step 2: Convert to fraction form
    9,405/12,547.50 = 12,547.50/x
  3. Step 3: Cross multiply
    9,405x = 12,547.50 × 12,547.50
  4. Step 4: Simplify right side
    9,405x = 157,439,756.25
  5. Step 5: Solve for x
    x = 157,439,756.25/9,405
  6. Step 6: Final answer
    x = 16,740.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.