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Finding the Third Proportional to 205,959,360 and 310,854,345

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Solution

The third proportional to 205,959,360 and 310,854,345 is: 469,172,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,959,360 : 310,854,345 = 310,854,345 : x
  2. Step 2: Convert to fraction form
    205,959,360/310,854,345 = 310,854,345/x
  3. Step 3: Cross multiply
    205,959,360x = 310,854,345 × 310,854,345
  4. Step 4: Simplify right side
    205,959,360x = 96,630,423,805,379,024
  5. Step 5: Solve for x
    x = 96,630,423,805,379,024/205,959,360
  6. Step 6: Final answer
    x = 469,172,286.25

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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.