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Finding the Third Proportional to 581,148 and 871,688.25

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Solution

The third proportional to 581,148 and 871,688.25 is: 1,307,481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,148 : 871,688.25 = 871,688.25 : x
  2. Step 2: Convert to fraction form
    581,148/871,688.25 = 871,688.25/x
  3. Step 3: Cross multiply
    581,148x = 871,688.25 × 871,688.25
  4. Step 4: Simplify right side
    581,148x = 759,840,405,188.06
  5. Step 5: Solve for x
    x = 759,840,405,188.06/581,148
  6. Step 6: Final answer
    x = 1,307,481.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.