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Finding the Third Proportional to 132,595,382 and 289,276,168

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Solution

The third proportional to 132,595,382 and 289,276,168 is: 631,098,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,595,382 : 289,276,168 = 289,276,168 : x
  2. Step 2: Convert to fraction form
    132,595,382/289,276,168 = 289,276,168/x
  3. Step 3: Cross multiply
    132,595,382x = 289,276,168 × 289,276,168
  4. Step 4: Simplify right side
    132,595,382x = 83,680,701,372,764,224
  5. Step 5: Solve for x
    x = 83,680,701,372,764,224/132,595,382
  6. Step 6: Final answer
    x = 631,098,158.25

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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.