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Finding the Third Proportional to 7,140 and 15,619

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Solution

The third proportional to 7,140 and 15,619 is: 34,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140 : 15,619 = 15,619 : x
  2. Step 2: Convert to fraction form
    7,140/15,619 = 15,619/x
  3. Step 3: Cross multiply
    7,140x = 15,619 × 15,619
  4. Step 4: Simplify right side
    7,140x = 243,953,161
  5. Step 5: Solve for x
    x = 243,953,161/7,140
  6. Step 6: Final answer
    x = 34,167.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.