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Finding the Third Proportional to 137,040 and 295,788

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Solution

The third proportional to 137,040 and 295,788 is: 638,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,040 : 295,788 = 295,788 : x
  2. Step 2: Convert to fraction form
    137,040/295,788 = 295,788/x
  3. Step 3: Cross multiply
    137,040x = 295,788 × 295,788
  4. Step 4: Simplify right side
    137,040x = 87,490,540,944
  5. Step 5: Solve for x
    x = 87,490,540,944/137,040
  6. Step 6: Final answer
    x = 638,430.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.