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Finding the Third Proportional to 368,038 and 788,540

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Solution

The third proportional to 368,038 and 788,540 is: 1,689,486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,038 : 788,540 = 788,540 : x
  2. Step 2: Convert to fraction form
    368,038/788,540 = 788,540/x
  3. Step 3: Cross multiply
    368,038x = 788,540 × 788,540
  4. Step 4: Simplify right side
    368,038x = 621,795,331,600
  5. Step 5: Solve for x
    x = 621,795,331,600/368,038
  6. Step 6: Final answer
    x = 1,689,486.77

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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.