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Finding the Third Proportional to 357,602 and 767,128

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Solution

The third proportional to 357,602 and 767,128 is: 1,645,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,602 : 767,128 = 767,128 : x
  2. Step 2: Convert to fraction form
    357,602/767,128 = 767,128/x
  3. Step 3: Cross multiply
    357,602x = 767,128 × 767,128
  4. Step 4: Simplify right side
    357,602x = 588,485,368,384
  5. Step 5: Solve for x
    x = 588,485,368,384/357,602
  6. Step 6: Final answer
    x = 1,645,643.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.