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Finding the Third Proportional to 282,948.75 and 428,081.63

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Solution

The third proportional to 282,948.75 and 428,081.63 is: 647,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,948.75 : 428,081.63 = 428,081.63 : x
  2. Step 2: Convert to fraction form
    282,948.75/428,081.63 = 428,081.63/x
  3. Step 3: Cross multiply
    282,948.75x = 428,081.63 × 428,081.63
  4. Step 4: Simplify right side
    282,948.75x = 183,253,877,662.64
  5. Step 5: Solve for x
    x = 183,253,877,662.64/282,948.75
  6. Step 6: Final answer
    x = 647,657.49

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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.