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Finding the Third Proportional to 30,291,518 and 65,201,982

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Solution

The third proportional to 30,291,518 and 65,201,982 is: 140,346,167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291,518 : 65,201,982 = 65,201,982 : x
  2. Step 2: Convert to fraction form
    30,291,518/65,201,982 = 65,201,982/x
  3. Step 3: Cross multiply
    30,291,518x = 65,201,982 × 65,201,982
  4. Step 4: Simplify right side
    30,291,518x = 4,251,298,456,728,324
  5. Step 5: Solve for x
    x = 4,251,298,456,728,324/30,291,518
  6. Step 6: Final answer
    x = 140,346,167.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.