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Finding the Third Proportional to 205,959,097 and 310,853,985

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Solution

The third proportional to 205,959,097 and 310,853,985 is: 469,171,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,959,097 : 310,853,985 = 310,853,985 : x
  2. Step 2: Convert to fraction form
    205,959,097/310,853,985 = 310,853,985/x
  3. Step 3: Cross multiply
    205,959,097x = 310,853,985 × 310,853,985
  4. Step 4: Simplify right side
    205,959,097x = 96,630,199,990,380,224
  5. Step 5: Solve for x
    x = 96,630,199,990,380,224/205,959,097
  6. Step 6: Final answer
    x = 469,171,798.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.