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Finding the Third Proportional to 145,353 and 311,721

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Solution

The third proportional to 145,353 and 311,721 is: 668,510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,353 : 311,721 = 311,721 : x
  2. Step 2: Convert to fraction form
    145,353/311,721 = 311,721/x
  3. Step 3: Cross multiply
    145,353x = 311,721 × 311,721
  4. Step 4: Simplify right side
    145,353x = 97,169,981,841
  5. Step 5: Solve for x
    x = 97,169,981,841/145,353
  6. Step 6: Final answer
    x = 668,510.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.