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Finding the Third Proportional to 320,169 and 463,723.50

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Solution

The third proportional to 320,169 and 463,723.50 is: 671,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,169 : 463,723.50 = 463,723.50 : x
  2. Step 2: Convert to fraction form
    320,169/463,723.50 = 463,723.50/x
  3. Step 3: Cross multiply
    320,169x = 463,723.50 × 463,723.50
  4. Step 4: Simplify right side
    320,169x = 215,039,484,452.25
  5. Step 5: Solve for x
    x = 215,039,484,452.25/320,169
  6. Step 6: Final answer
    x = 671,643.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.