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Finding the Third Proportional to 145,649.39 and 311,537.39

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Solution

The third proportional to 145,649.39 and 311,537.39 is: 666,364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,649.39 : 311,537.39 = 311,537.39 : x
  2. Step 2: Convert to fraction form
    145,649.39/311,537.39 = 311,537.39/x
  3. Step 3: Cross multiply
    145,649.39x = 311,537.39 × 311,537.39
  4. Step 4: Simplify right side
    145,649.39x = 97,055,545,757.43
  5. Step 5: Solve for x
    x = 97,055,545,757.43/145,649.39
  6. Step 6: Final answer
    x = 666,364.24

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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.