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Finding the Third Proportional to 148,437.56 and 311,455.13

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Solution

The third proportional to 148,437.56 and 311,455.13 is: 653,502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,437.56 : 311,455.13 = 311,455.13 : x
  2. Step 2: Convert to fraction form
    148,437.56/311,455.13 = 311,455.13/x
  3. Step 3: Cross multiply
    148,437.56x = 311,455.13 × 311,455.13
  4. Step 4: Simplify right side
    148,437.56x = 97,004,294,888.77
  5. Step 5: Solve for x
    x = 97,004,294,888.77/148,437.56
  6. Step 6: Final answer
    x = 653,502.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.