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Finding the Third Proportional to 64,528 and 139,262

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Solution

The third proportional to 64,528 and 139,262 is: 300,550.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,528 : 139,262 = 139,262 : x
  2. Step 2: Convert to fraction form
    64,528/139,262 = 139,262/x
  3. Step 3: Cross multiply
    64,528x = 139,262 × 139,262
  4. Step 4: Simplify right side
    64,528x = 19,393,904,644
  5. Step 5: Solve for x
    x = 19,393,904,644/64,528
  6. Step 6: Final answer
    x = 300,550.22

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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.