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Finding the Third Proportional to 145,371 and 308,355

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Solution

The third proportional to 145,371 and 308,355 is: 654,069.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,371 : 308,355 = 308,355 : x
  2. Step 2: Convert to fraction form
    145,371/308,355 = 308,355/x
  3. Step 3: Cross multiply
    145,371x = 308,355 × 308,355
  4. Step 4: Simplify right side
    145,371x = 95,082,806,025
  5. Step 5: Solve for x
    x = 95,082,806,025/145,371
  6. Step 6: Final answer
    x = 654,069.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.