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Finding the Third Proportional to 302,518.50 and 658,377

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Solution

The third proportional to 302,518.50 and 658,377 is: 1,432,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,518.50 : 658,377 = 658,377 : x
  2. Step 2: Convert to fraction form
    302,518.50/658,377 = 658,377/x
  3. Step 3: Cross multiply
    302,518.50x = 658,377 × 658,377
  4. Step 4: Simplify right side
    302,518.50x = 433,460,274,129
  5. Step 5: Solve for x
    x = 433,460,274,129/302,518.50
  6. Step 6: Final answer
    x = 1,432,838.90

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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.