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Finding the Third Proportional to 137,519.02 and 289,971.14

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Solution

The third proportional to 137,519.02 and 289,971.14 is: 611,430.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,519.02 : 289,971.14 = 289,971.14 : x
  2. Step 2: Convert to fraction form
    137,519.02/289,971.14 = 289,971.14/x
  3. Step 3: Cross multiply
    137,519.02x = 289,971.14 × 289,971.14
  4. Step 4: Simplify right side
    137,519.02x = 84,083,262,395.36
  5. Step 5: Solve for x
    x = 84,083,262,395.36/137,519.02
  6. Step 6: Final answer
    x = 611,430.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.