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Finding the Third Proportional to 25,700 and 40,728

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Solution

The third proportional to 25,700 and 40,728 is: 64,543.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,700 : 40,728 = 40,728 : x
  2. Step 2: Convert to fraction form
    25,700/40,728 = 40,728/x
  3. Step 3: Cross multiply
    25,700x = 40,728 × 40,728
  4. Step 4: Simplify right side
    25,700x = 1,658,769,984
  5. Step 5: Solve for x
    x = 1,658,769,984/25,700
  6. Step 6: Final answer
    x = 64,543.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.