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Finding the Third Proportional to 302,698.88 and 658,603.31

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Solution

The third proportional to 302,698.88 and 658,603.31 is: 1,432,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,698.88 : 658,603.31 = 658,603.31 : x
  2. Step 2: Convert to fraction form
    302,698.88/658,603.31 = 658,603.31/x
  3. Step 3: Cross multiply
    302,698.88x = 658,603.31 × 658,603.31
  4. Step 4: Simplify right side
    302,698.88x = 433,758,323,235.97
  5. Step 5: Solve for x
    x = 433,758,323,235.97/302,698.88
  6. Step 6: Final answer
    x = 1,432,969.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.