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Finding the Third Proportional to 146,353,260 and 289,005,142

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Solution

The third proportional to 146,353,260 and 289,005,142 is: 570,701,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,353,260 : 289,005,142 = 289,005,142 : x
  2. Step 2: Convert to fraction form
    146,353,260/289,005,142 = 289,005,142/x
  3. Step 3: Cross multiply
    146,353,260x = 289,005,142 × 289,005,142
  4. Step 4: Simplify right side
    146,353,260x = 83,523,972,102,440,160
  5. Step 5: Solve for x
    x = 83,523,972,102,440,160/146,353,260
  6. Step 6: Final answer
    x = 570,701,138.48

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.