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Finding the Third Proportional to 88,032,238,938 and 193,358,664,081

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Solution

The third proportional to 88,032,238,938 and 193,358,664,081 is: 424,703,193,128.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,032,238,938 : 193,358,664,081 = 193,358,664,081 : x
  2. Step 2: Convert to fraction form
    88,032,238,938/193,358,664,081 = 193,358,664,081/x
  3. Step 3: Cross multiply
    88,032,238,938x = 193,358,664,081 × 193,358,664,081
  4. Step 4: Simplify right side
    88,032,238,938x = 37,387,572,975,188,999,929,856
  5. Step 5: Solve for x
    x = 37,387,572,975,188,999,929,856/88,032,238,938
  6. Step 6: Final answer
    x = 424,703,193,128.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.