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Finding the Third Proportional to 145,442.25 and 308,491.88

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Solution

The third proportional to 145,442.25 and 308,491.88 is: 654,330.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,442.25 : 308,491.88 = 308,491.88 : x
  2. Step 2: Convert to fraction form
    145,442.25/308,491.88 = 308,491.88/x
  3. Step 3: Cross multiply
    145,442.25x = 308,491.88 × 308,491.88
  4. Step 4: Simplify right side
    145,442.25x = 95,167,236,941.02
  5. Step 5: Solve for x
    x = 95,167,236,941.02/145,442.25
  6. Step 6: Final answer
    x = 654,330.07

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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.