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Finding the Third Proportional to 15,316 and 23,640

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Solution

The third proportional to 15,316 and 23,640 is: 36,487.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,316 : 23,640 = 23,640 : x
  2. Step 2: Convert to fraction form
    15,316/23,640 = 23,640/x
  3. Step 3: Cross multiply
    15,316x = 23,640 × 23,640
  4. Step 4: Simplify right side
    15,316x = 558,849,600
  5. Step 5: Solve for x
    x = 558,849,600/15,316
  6. Step 6: Final answer
    x = 36,487.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.