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Finding the Third Proportional to 51,164,346 and 78,722,658

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Solution

The third proportional to 51,164,346 and 78,722,658 is: 121,124,520.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,164,346 : 78,722,658 = 78,722,658 : x
  2. Step 2: Convert to fraction form
    51,164,346/78,722,658 = 78,722,658/x
  3. Step 3: Cross multiply
    51,164,346x = 78,722,658 × 78,722,658
  4. Step 4: Simplify right side
    51,164,346x = 6,197,256,882,584,964
  5. Step 5: Solve for x
    x = 6,197,256,882,584,964/51,164,346
  6. Step 6: Final answer
    x = 121,124,520.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.