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Finding the Third Proportional to 20,547 and 31,137.75

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Solution

The third proportional to 20,547 and 31,137.75 is: 47,187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,547 : 31,137.75 = 31,137.75 : x
  2. Step 2: Convert to fraction form
    20,547/31,137.75 = 31,137.75/x
  3. Step 3: Cross multiply
    20,547x = 31,137.75 × 31,137.75
  4. Step 4: Simplify right side
    20,547x = 969,559,475.06
  5. Step 5: Solve for x
    x = 969,559,475.06/20,547
  6. Step 6: Final answer
    x = 47,187.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.