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Finding the Third Proportional to 15,316.50 and 31,281.75

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Solution

The third proportional to 15,316.50 and 31,281.75 is: 63,888.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,316.50 : 31,281.75 = 31,281.75 : x
  2. Step 2: Convert to fraction form
    15,316.50/31,281.75 = 31,281.75/x
  3. Step 3: Cross multiply
    15,316.50x = 31,281.75 × 31,281.75
  4. Step 4: Simplify right side
    15,316.50x = 978,547,883.06
  5. Step 5: Solve for x
    x = 978,547,883.06/15,316.50
  6. Step 6: Final answer
    x = 63,888.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.