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Finding the Third Proportional to 69,710.63 and 153,090

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Solution

The third proportional to 69,710.63 and 153,090 is: 336,197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,710.63 : 153,090 = 153,090 : x
  2. Step 2: Convert to fraction form
    69,710.63/153,090 = 153,090/x
  3. Step 3: Cross multiply
    69,710.63x = 153,090 × 153,090
  4. Step 4: Simplify right side
    69,710.63x = 23,436,548,100
  5. Step 5: Solve for x
    x = 23,436,548,100/69,710.63
  6. Step 6: Final answer
    x = 336,197.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.