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Finding the Third Proportional to 92,480,827.50 and 198,911,983.50

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Solution

The third proportional to 92,480,827.50 and 198,911,983.50 is: 427,828,970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,480,827.50 : 198,911,983.50 = 198,911,983.50 : x
  2. Step 2: Convert to fraction form
    92,480,827.50/198,911,983.50 = 198,911,983.50/x
  3. Step 3: Cross multiply
    92,480,827.50x = 198,911,983.50 × 198,911,983.50
  4. Step 4: Simplify right side
    92,480,827.50x = 39,565,977,179,904,272
  5. Step 5: Solve for x
    x = 39,565,977,179,904,272/92,480,827.50
  6. Step 6: Final answer
    x = 427,828,970.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.