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Finding the Third Proportional to 10,086 and 23,437.50

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Solution

The third proportional to 10,086 and 23,437.50 is: 54,463.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086 : 23,437.50 = 23,437.50 : x
  2. Step 2: Convert to fraction form
    10,086/23,437.50 = 23,437.50/x
  3. Step 3: Cross multiply
    10,086x = 23,437.50 × 23,437.50
  4. Step 4: Simplify right side
    10,086x = 549,316,406.25
  5. Step 5: Solve for x
    x = 549,316,406.25/10,086
  6. Step 6: Final answer
    x = 54,463.26

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.