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Finding the Third Proportional to 64,542.75 and 139,807.50

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Solution

The third proportional to 64,542.75 and 139,807.50 is: 302,840.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,542.75 : 139,807.50 = 139,807.50 : x
  2. Step 2: Convert to fraction form
    64,542.75/139,807.50 = 139,807.50/x
  3. Step 3: Cross multiply
    64,542.75x = 139,807.50 × 139,807.50
  4. Step 4: Simplify right side
    64,542.75x = 19,546,137,056.25
  5. Step 5: Solve for x
    x = 19,546,137,056.25/64,542.75
  6. Step 6: Final answer
    x = 302,840.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.