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Finding the Third Proportional to 82,205,652 and 128,013,822

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Solution

The third proportional to 82,205,652 and 128,013,822 is: 199,348,076.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,205,652 : 128,013,822 = 128,013,822 : x
  2. Step 2: Convert to fraction form
    82,205,652/128,013,822 = 128,013,822/x
  3. Step 3: Cross multiply
    82,205,652x = 128,013,822 × 128,013,822
  4. Step 4: Simplify right side
    82,205,652x = 16,387,538,623,047,684
  5. Step 5: Solve for x
    x = 16,387,538,623,047,684/82,205,652
  6. Step 6: Final answer
    x = 199,348,076.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.