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Finding the Third Proportional to 128,906,812.50 and 204,454,210.50

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Solution

The third proportional to 128,906,812.50 and 204,454,210.50 is: 324,277,075.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,906,812.50 : 204,454,210.50 = 204,454,210.50 : x
  2. Step 2: Convert to fraction form
    128,906,812.50/204,454,210.50 = 204,454,210.50/x
  3. Step 3: Cross multiply
    128,906,812.50x = 204,454,210.50 × 204,454,210.50
  4. Step 4: Simplify right side
    128,906,812.50x = 41,801,524,191,178,312
  5. Step 5: Solve for x
    x = 41,801,524,191,178,312/128,906,812.50
  6. Step 6: Final answer
    x = 324,277,075.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.