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Finding the Third Proportional to 52,297,433 and 114,011,346.75

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Solution

The third proportional to 52,297,433 and 114,011,346.75 is: 248,551,151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,297,433 : 114,011,346.75 = 114,011,346.75 : x
  2. Step 2: Convert to fraction form
    52,297,433/114,011,346.75 = 114,011,346.75/x
  3. Step 3: Cross multiply
    52,297,433x = 114,011,346.75 × 114,011,346.75
  4. Step 4: Simplify right side
    52,297,433x = 12,998,587,187,748,736
  5. Step 5: Solve for x
    x = 12,998,587,187,748,736/52,297,433
  6. Step 6: Final answer
    x = 248,551,151.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.