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Finding the Third Proportional to 63,784 and 139,728

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Solution

The third proportional to 63,784 and 139,728 is: 306,094.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,784 : 139,728 = 139,728 : x
  2. Step 2: Convert to fraction form
    63,784/139,728 = 139,728/x
  3. Step 3: Cross multiply
    63,784x = 139,728 × 139,728
  4. Step 4: Simplify right side
    63,784x = 19,523,913,984
  5. Step 5: Solve for x
    x = 19,523,913,984/63,784
  6. Step 6: Final answer
    x = 306,094.22

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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.