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Finding the Third Proportional to 77,666.34 and 122,758.03

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Solution

The third proportional to 77,666.34 and 122,758.03 is: 194,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,666.34 : 122,758.03 = 122,758.03 : x
  2. Step 2: Convert to fraction form
    77,666.34/122,758.03 = 122,758.03/x
  3. Step 3: Cross multiply
    77,666.34x = 122,758.03 × 122,758.03
  4. Step 4: Simplify right side
    77,666.34x = 15,069,534,236.38
  5. Step 5: Solve for x
    x = 15,069,534,236.38/77,666.34
  6. Step 6: Final answer
    x = 194,029.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.