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Finding the Third Proportional to 64,555 and 139,307

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Solution

The third proportional to 64,555 and 139,307 is: 300,618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,555 : 139,307 = 139,307 : x
  2. Step 2: Convert to fraction form
    64,555/139,307 = 139,307/x
  3. Step 3: Cross multiply
    64,555x = 139,307 × 139,307
  4. Step 4: Simplify right side
    64,555x = 19,406,440,249
  5. Step 5: Solve for x
    x = 19,406,440,249/64,555
  6. Step 6: Final answer
    x = 300,618.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.