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Finding the Third Proportional to 219,440,120 and 298,887,636

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Solution

The third proportional to 219,440,120 and 298,887,636 is: 407,098,842.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,440,120 : 298,887,636 = 298,887,636 : x
  2. Step 2: Convert to fraction form
    219,440,120/298,887,636 = 298,887,636/x
  3. Step 3: Cross multiply
    219,440,120x = 298,887,636 × 298,887,636
  4. Step 4: Simplify right side
    219,440,120x = 89,333,818,953,668,496
  5. Step 5: Solve for x
    x = 89,333,818,953,668,496/219,440,120
  6. Step 6: Final answer
    x = 407,098,842.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.