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Finding the Third Proportional to 218,739,272 and 319,804,456

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Solution

The third proportional to 218,739,272 and 319,804,456 is: 467,565,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,739,272 : 319,804,456 = 319,804,456 : x
  2. Step 2: Convert to fraction form
    218,739,272/319,804,456 = 319,804,456/x
  3. Step 3: Cross multiply
    218,739,272x = 319,804,456 × 319,804,456
  4. Step 4: Simplify right side
    218,739,272x = 102,274,890,077,455,936
  5. Step 5: Solve for x
    x = 102,274,890,077,455,936/218,739,272
  6. Step 6: Final answer
    x = 467,565,285.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.