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Finding the Third Proportional to 105,790,635,100 and 230,176,648,856

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Solution

The third proportional to 105,790,635,100 and 230,176,648,856 is: 500,812,662,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,790,635,100 : 230,176,648,856 = 230,176,648,856 : x
  2. Step 2: Convert to fraction form
    105,790,635,100/230,176,648,856 = 230,176,648,856/x
  3. Step 3: Cross multiply
    105,790,635,100x = 230,176,648,856 × 230,176,648,856
  4. Step 4: Simplify right side
    105,790,635,100x = 52,981,289,678,578,328,272,896
  5. Step 5: Solve for x
    x = 52,981,289,678,578,328,272,896/105,790,635,100
  6. Step 6: Final answer
    x = 500,812,662,940.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.