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Finding the Third Proportional to 153,806.91 and 240,790.78

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Solution

The third proportional to 153,806.91 and 240,790.78 is: 376,967.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,806.91 : 240,790.78 = 240,790.78 : x
  2. Step 2: Convert to fraction form
    153,806.91/240,790.78 = 240,790.78/x
  3. Step 3: Cross multiply
    153,806.91x = 240,790.78 × 240,790.78
  4. Step 4: Simplify right side
    153,806.91x = 57,980,200,334.99
  5. Step 5: Solve for x
    x = 57,980,200,334.99/153,806.91
  6. Step 6: Final answer
    x = 376,967.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.