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Finding the Third Proportional to 72,193,009 and 106,697,377

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Solution

The third proportional to 72,193,009 and 106,697,377 is: 157,692,973.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,193,009 : 106,697,377 = 106,697,377 : x
  2. Step 2: Convert to fraction form
    72,193,009/106,697,377 = 106,697,377/x
  3. Step 3: Cross multiply
    72,193,009x = 106,697,377 × 106,697,377
  4. Step 4: Simplify right side
    72,193,009x = 11,384,330,258,680,128
  5. Step 5: Solve for x
    x = 11,384,330,258,680,128/72,193,009
  6. Step 6: Final answer
    x = 157,692,973.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.