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Finding the Third Proportional to 64,292 and 143,488

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Solution

The third proportional to 64,292 and 143,488 is: 320,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,292 : 143,488 = 143,488 : x
  2. Step 2: Convert to fraction form
    64,292/143,488 = 143,488/x
  3. Step 3: Cross multiply
    64,292x = 143,488 × 143,488
  4. Step 4: Simplify right side
    64,292x = 20,588,806,144
  5. Step 5: Solve for x
    x = 20,588,806,144/64,292
  6. Step 6: Final answer
    x = 320,239.01

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.