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Finding the Third Proportional to 64,588 and 139,074

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Solution

The third proportional to 64,588 and 139,074 is: 299,460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,588 : 139,074 = 139,074 : x
  2. Step 2: Convert to fraction form
    64,588/139,074 = 139,074/x
  3. Step 3: Cross multiply
    64,588x = 139,074 × 139,074
  4. Step 4: Simplify right side
    64,588x = 19,341,577,476
  5. Step 5: Solve for x
    x = 19,341,577,476/64,588
  6. Step 6: Final answer
    x = 299,460.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.