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Finding the Third Proportional to 145,776 and 320,088

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Solution

The third proportional to 145,776 and 320,088 is: 702,833.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,776 : 320,088 = 320,088 : x
  2. Step 2: Convert to fraction form
    145,776/320,088 = 320,088/x
  3. Step 3: Cross multiply
    145,776x = 320,088 × 320,088
  4. Step 4: Simplify right side
    145,776x = 102,456,327,744
  5. Step 5: Solve for x
    x = 102,456,327,744/145,776
  6. Step 6: Final answer
    x = 702,833.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.