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Finding the Third Proportional to 145,619 and 319,789

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Solution

The third proportional to 145,619 and 319,789 is: 702,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,619 : 319,789 = 319,789 : x
  2. Step 2: Convert to fraction form
    145,619/319,789 = 319,789/x
  3. Step 3: Cross multiply
    145,619x = 319,789 × 319,789
  4. Step 4: Simplify right side
    145,619x = 102,265,004,521
  5. Step 5: Solve for x
    x = 102,265,004,521/145,619
  6. Step 6: Final answer
    x = 702,277.89

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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.