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Finding the Third Proportional to 30,542,994 and 65,868,174

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Solution

The third proportional to 30,542,994 and 65,868,174 is: 142,049,477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542,994 : 65,868,174 = 65,868,174 : x
  2. Step 2: Convert to fraction form
    30,542,994/65,868,174 = 65,868,174/x
  3. Step 3: Cross multiply
    30,542,994x = 65,868,174 × 65,868,174
  4. Step 4: Simplify right side
    30,542,994x = 4,338,616,346,094,276
  5. Step 5: Solve for x
    x = 4,338,616,346,094,276/30,542,994
  6. Step 6: Final answer
    x = 142,049,477.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.