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Finding the Third Proportional to 92,053,352 and 198,453,320

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Solution

The third proportional to 92,053,352 and 198,453,320 is: 427,835,807.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,053,352 : 198,453,320 = 198,453,320 : x
  2. Step 2: Convert to fraction form
    92,053,352/198,453,320 = 198,453,320/x
  3. Step 3: Cross multiply
    92,053,352x = 198,453,320 × 198,453,320
  4. Step 4: Simplify right side
    92,053,352x = 39,383,720,219,022,400
  5. Step 5: Solve for x
    x = 39,383,720,219,022,400/92,053,352
  6. Step 6: Final answer
    x = 427,835,807.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.