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Finding the Third Proportional to 145,720 and 320,024

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Solution

The third proportional to 145,720 and 320,024 is: 702,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,720 : 320,024 = 320,024 : x
  2. Step 2: Convert to fraction form
    145,720/320,024 = 320,024/x
  3. Step 3: Cross multiply
    145,720x = 320,024 × 320,024
  4. Step 4: Simplify right side
    145,720x = 102,415,360,576
  5. Step 5: Solve for x
    x = 102,415,360,576/145,720
  6. Step 6: Final answer
    x = 702,822.95

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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.