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Finding the Third Proportional to 129,302,284.50 and 200,752,566.75

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Solution

The third proportional to 129,302,284.50 and 200,752,566.75 is: 311,685,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,302,284.50 : 200,752,566.75 = 200,752,566.75 : x
  2. Step 2: Convert to fraction form
    129,302,284.50/200,752,566.75 = 200,752,566.75/x
  3. Step 3: Cross multiply
    129,302,284.50x = 200,752,566.75 × 200,752,566.75
  4. Step 4: Simplify right side
    129,302,284.50x = 40,301,593,056,713,208
  5. Step 5: Solve for x
    x = 40,301,593,056,713,208/129,302,284.50
  6. Step 6: Final answer
    x = 311,685,081.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.