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Finding the Third Proportional to 82,431,495 and 127,520,948.25

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Solution

The third proportional to 82,431,495 and 127,520,948.25 is: 197,274,018.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,431,495 : 127,520,948.25 = 127,520,948.25 : x
  2. Step 2: Convert to fraction form
    82,431,495/127,520,948.25 = 127,520,948.25/x
  3. Step 3: Cross multiply
    82,431,495x = 127,520,948.25 × 127,520,948.25
  4. Step 4: Simplify right side
    82,431,495x = 16,261,592,242,579,178
  5. Step 5: Solve for x
    x = 16,261,592,242,579,178/82,431,495
  6. Step 6: Final answer
    x = 197,274,018.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.