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Finding the Third Proportional to 201,130,479.50 and 307,543,757.25

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Solution

The third proportional to 201,130,479.50 and 307,543,757.25 is: 470,257,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,130,479.50 : 307,543,757.25 = 307,543,757.25 : x
  2. Step 2: Convert to fraction form
    201,130,479.50/307,543,757.25 = 307,543,757.25/x
  3. Step 3: Cross multiply
    201,130,479.50x = 307,543,757.25 × 307,543,757.25
  4. Step 4: Simplify right side
    201,130,479.50x = 94,583,162,623,446,928
  5. Step 5: Solve for x
    x = 94,583,162,623,446,928/201,130,479.50
  6. Step 6: Final answer
    x = 470,257,729.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.