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Finding the Third Proportional to 283,158 and 428,364

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Solution

The third proportional to 283,158 and 428,364 is: 648,032.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,158 : 428,364 = 428,364 : x
  2. Step 2: Convert to fraction form
    283,158/428,364 = 428,364/x
  3. Step 3: Cross multiply
    283,158x = 428,364 × 428,364
  4. Step 4: Simplify right side
    283,158x = 183,495,716,496
  5. Step 5: Solve for x
    x = 183,495,716,496/283,158
  6. Step 6: Final answer
    x = 648,032.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.