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Finding the Third Proportional to 128,220 and 296,807

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Solution

The third proportional to 128,220 and 296,807 is: 687,056.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,220 : 296,807 = 296,807 : x
  2. Step 2: Convert to fraction form
    128,220/296,807 = 296,807/x
  3. Step 3: Cross multiply
    128,220x = 296,807 × 296,807
  4. Step 4: Simplify right side
    128,220x = 88,094,395,249
  5. Step 5: Solve for x
    x = 88,094,395,249/128,220
  6. Step 6: Final answer
    x = 687,056.58

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.