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Finding the Third Proportional to 131,028 and 307,998

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Solution

The third proportional to 131,028 and 307,998 is: 723,988.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,028 : 307,998 = 307,998 : x
  2. Step 2: Convert to fraction form
    131,028/307,998 = 307,998/x
  3. Step 3: Cross multiply
    131,028x = 307,998 × 307,998
  4. Step 4: Simplify right side
    131,028x = 94,862,768,004
  5. Step 5: Solve for x
    x = 94,862,768,004/131,028
  6. Step 6: Final answer
    x = 723,988.52

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.