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Finding the Third Proportional to 77,345,379 and 111,854,871

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Solution

The third proportional to 77,345,379 and 111,854,871 is: 161,761,598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,345,379 : 111,854,871 = 111,854,871 : x
  2. Step 2: Convert to fraction form
    77,345,379/111,854,871 = 111,854,871/x
  3. Step 3: Cross multiply
    77,345,379x = 111,854,871 × 111,854,871
  4. Step 4: Simplify right side
    77,345,379x = 12,511,512,166,426,640
  5. Step 5: Solve for x
    x = 12,511,512,166,426,640/77,345,379
  6. Step 6: Final answer
    x = 161,761,598.79

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.