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Finding the Third Proportional to 132,595,380 and 289,276,164

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Solution

The third proportional to 132,595,380 and 289,276,164 is: 631,098,150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,595,380 : 289,276,164 = 289,276,164 : x
  2. Step 2: Convert to fraction form
    132,595,380/289,276,164 = 289,276,164/x
  3. Step 3: Cross multiply
    132,595,380x = 289,276,164 × 289,276,164
  4. Step 4: Simplify right side
    132,595,380x = 83,680,699,058,554,896
  5. Step 5: Solve for x
    x = 83,680,699,058,554,896/132,595,380
  6. Step 6: Final answer
    x = 631,098,150.32

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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.