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Finding the Third Proportional to 132,051,100 and 289,611,332

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Solution

The third proportional to 132,051,100 and 289,611,332 is: 635,168,685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,051,100 : 289,611,332 = 289,611,332 : x
  2. Step 2: Convert to fraction form
    132,051,100/289,611,332 = 289,611,332/x
  3. Step 3: Cross multiply
    132,051,100x = 289,611,332 × 289,611,332
  4. Step 4: Simplify right side
    132,051,100x = 83,874,723,622,814,224
  5. Step 5: Solve for x
    x = 83,874,723,622,814,224/132,051,100
  6. Step 6: Final answer
    x = 635,168,685.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.