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Finding the Third Proportional to 148,533.56 and 309,307.13

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Solution

The third proportional to 148,533.56 and 309,307.13 is: 644,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,533.56 : 309,307.13 = 309,307.13 : x
  2. Step 2: Convert to fraction form
    148,533.56/309,307.13 = 309,307.13/x
  3. Step 3: Cross multiply
    148,533.56x = 309,307.13 × 309,307.13
  4. Step 4: Simplify right side
    148,533.56x = 95,670,897,575.77
  5. Step 5: Solve for x
    x = 95,670,897,575.77/148,533.56
  6. Step 6: Final answer
    x = 644,102.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.