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Finding the Third Proportional to 159,460,365 and 242,415,832.50

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Solution

The third proportional to 159,460,365 and 242,415,832.50 is: 368,526,911.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,460,365 : 242,415,832.50 = 242,415,832.50 : x
  2. Step 2: Convert to fraction form
    159,460,365/242,415,832.50 = 242,415,832.50/x
  3. Step 3: Cross multiply
    159,460,365x = 242,415,832.50 × 242,415,832.50
  4. Step 4: Simplify right side
    159,460,365x = 58,765,435,846,668,056
  5. Step 5: Solve for x
    x = 58,765,435,846,668,056/159,460,365
  6. Step 6: Final answer
    x = 368,526,911.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.