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Finding the Third Proportional to 132,160,896 and 283,453,440

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Solution

The third proportional to 132,160,896 and 283,453,440 is: 607,939,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,160,896 : 283,453,440 = 283,453,440 : x
  2. Step 2: Convert to fraction form
    132,160,896/283,453,440 = 283,453,440/x
  3. Step 3: Cross multiply
    132,160,896x = 283,453,440 × 283,453,440
  4. Step 4: Simplify right side
    132,160,896x = 80,345,852,647,833,600
  5. Step 5: Solve for x
    x = 80,345,852,647,833,600/132,160,896
  6. Step 6: Final answer
    x = 607,939,678.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.