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Finding the Third Proportional to 25,431 and 36,688.50

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Solution

The third proportional to 25,431 and 36,688.50 is: 52,929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,431 : 36,688.50 = 36,688.50 : x
  2. Step 2: Convert to fraction form
    25,431/36,688.50 = 36,688.50/x
  3. Step 3: Cross multiply
    25,431x = 36,688.50 × 36,688.50
  4. Step 4: Simplify right side
    25,431x = 1,346,046,032.25
  5. Step 5: Solve for x
    x = 1,346,046,032.25/25,431
  6. Step 6: Final answer
    x = 52,929.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.