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Finding the Third Proportional to 145,451 and 308,509

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Solution

The third proportional to 145,451 and 308,509 is: 654,363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,451 : 308,509 = 308,509 : x
  2. Step 2: Convert to fraction form
    145,451/308,509 = 308,509/x
  3. Step 3: Cross multiply
    145,451x = 308,509 × 308,509
  4. Step 4: Simplify right side
    145,451x = 95,177,803,081
  5. Step 5: Solve for x
    x = 95,177,803,081/145,451
  6. Step 6: Final answer
    x = 654,363.35

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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.