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Finding the Third Proportional to 145,783 and 320,102

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Solution

The third proportional to 145,783 and 320,102 is: 702,861.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,783 : 320,102 = 320,102 : x
  2. Step 2: Convert to fraction form
    145,783/320,102 = 320,102/x
  3. Step 3: Cross multiply
    145,783x = 320,102 × 320,102
  4. Step 4: Simplify right side
    145,783x = 102,465,290,404
  5. Step 5: Solve for x
    x = 102,465,290,404/145,783
  6. Step 6: Final answer
    x = 702,861.72

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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.