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Finding the Third Proportional to 216,785,124 and 309,035,196

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Solution

The third proportional to 216,785,124 and 309,035,196 is: 440,541,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,785,124 : 309,035,196 = 309,035,196 : x
  2. Step 2: Convert to fraction form
    216,785,124/309,035,196 = 309,035,196/x
  3. Step 3: Cross multiply
    216,785,124x = 309,035,196 × 309,035,196
  4. Step 4: Simplify right side
    216,785,124x = 95,502,752,366,758,416
  5. Step 5: Solve for x
    x = 95,502,752,366,758,416/216,785,124
  6. Step 6: Final answer
    x = 440,541,078.67

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.