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Finding the Third Proportional to 129,828,225 and 202,186,939.50

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Solution

The third proportional to 129,828,225 and 202,186,939.50 is: 314,874,200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,828,225 : 202,186,939.50 = 202,186,939.50 : x
  2. Step 2: Convert to fraction form
    129,828,225/202,186,939.50 = 202,186,939.50/x
  3. Step 3: Cross multiply
    129,828,225x = 202,186,939.50 × 202,186,939.50
  4. Step 4: Simplify right side
    129,828,225x = 40,879,558,504,376,664
  5. Step 5: Solve for x
    x = 40,879,558,504,376,664/129,828,225
  6. Step 6: Final answer
    x = 314,874,200.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.