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Finding the Third Proportional to 104,664,729,432 and 228,272,673,384

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Solution

The third proportional to 104,664,729,432 and 228,272,673,384 is: 497,860,298,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,664,729,432 : 228,272,673,384 = 228,272,673,384 : x
  2. Step 2: Convert to fraction form
    104,664,729,432/228,272,673,384 = 228,272,673,384/x
  3. Step 3: Cross multiply
    104,664,729,432x = 228,272,673,384 × 228,272,673,384
  4. Step 4: Simplify right side
    104,664,729,432x = 52,108,413,413,878,342,352,896
  5. Step 5: Solve for x
    x = 52,108,413,413,878,342,352,896/104,664,729,432
  6. Step 6: Final answer
    x = 497,860,298,274.91

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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.