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Finding the Third Proportional to 132,147,283.50 and 289,706,427

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Solution

The third proportional to 132,147,283.50 and 289,706,427 is: 635,123,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,147,283.50 : 289,706,427 = 289,706,427 : x
  2. Step 2: Convert to fraction form
    132,147,283.50/289,706,427 = 289,706,427/x
  3. Step 3: Cross multiply
    132,147,283.50x = 289,706,427 × 289,706,427
  4. Step 4: Simplify right side
    132,147,283.50x = 83,929,813,845,106,336
  5. Step 5: Solve for x
    x = 83,929,813,845,106,336/132,147,283.50
  6. Step 6: Final answer
    x = 635,123,262.64

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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.