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Finding the Third Proportional to 145,613 and 319,777

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Solution

The third proportional to 145,613 and 319,777 is: 702,254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,613 : 319,777 = 319,777 : x
  2. Step 2: Convert to fraction form
    145,613/319,777 = 319,777/x
  3. Step 3: Cross multiply
    145,613x = 319,777 × 319,777
  4. Step 4: Simplify right side
    145,613x = 102,257,329,729
  5. Step 5: Solve for x
    x = 102,257,329,729/145,613
  6. Step 6: Final answer
    x = 702,254.12

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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.