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Finding the Third Proportional to 145,605.09 and 311,452.59

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Solution

The third proportional to 145,605.09 and 311,452.59 is: 666,204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,605.09 : 311,452.59 = 311,452.59 : x
  2. Step 2: Convert to fraction form
    145,605.09/311,452.59 = 311,452.59/x
  3. Step 3: Cross multiply
    145,605.09x = 311,452.59 × 311,452.59
  4. Step 4: Simplify right side
    145,605.09x = 97,002,718,153.60
  5. Step 5: Solve for x
    x = 97,002,718,153.60/145,605.09
  6. Step 6: Final answer
    x = 666,204.15

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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.