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Finding the Third Proportional to 122,097,669 and 261,919,807

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Solution

The third proportional to 122,097,669 and 261,919,807 is: 561,861,547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,097,669 : 261,919,807 = 261,919,807 : x
  2. Step 2: Convert to fraction form
    122,097,669/261,919,807 = 261,919,807/x
  3. Step 3: Cross multiply
    122,097,669x = 261,919,807 × 261,919,807
  4. Step 4: Simplify right side
    122,097,669x = 68,601,985,298,917,248
  5. Step 5: Solve for x
    x = 68,601,985,298,917,248/122,097,669
  6. Step 6: Final answer
    x = 561,861,547.90

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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.