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Finding the Third Proportional to 77,854,055.25 and 109,496,520

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Solution

The third proportional to 77,854,055.25 and 109,496,520 is: 153,999,529.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,854,055.25 : 109,496,520 = 109,496,520 : x
  2. Step 2: Convert to fraction form
    77,854,055.25/109,496,520 = 109,496,520/x
  3. Step 3: Cross multiply
    77,854,055.25x = 109,496,520 × 109,496,520
  4. Step 4: Simplify right side
    77,854,055.25x = 11,989,487,892,110,400
  5. Step 5: Solve for x
    x = 11,989,487,892,110,400/77,854,055.25
  6. Step 6: Final answer
    x = 153,999,529.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.