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Finding the Third Proportional to 421,456.92 and 658,038.94

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Solution

The third proportional to 421,456.92 and 658,038.94 is: 1,027,424.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,456.92 : 658,038.94 = 658,038.94 : x
  2. Step 2: Convert to fraction form
    421,456.92/658,038.94 = 658,038.94/x
  3. Step 3: Cross multiply
    421,456.92x = 658,038.94 × 658,038.94
  4. Step 4: Simplify right side
    421,456.92x = 433,015,243,266.13
  5. Step 5: Solve for x
    x = 433,015,243,266.13/421,456.92
  6. Step 6: Final answer
    x = 1,027,424.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.