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Finding the Third Proportional to 489,234.94 and 688,950.56

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Solution

The third proportional to 489,234.94 and 688,950.56 is: 970,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,234.94 : 688,950.56 = 688,950.56 : x
  2. Step 2: Convert to fraction form
    489,234.94/688,950.56 = 688,950.56/x
  3. Step 3: Cross multiply
    489,234.94x = 688,950.56 × 688,950.56
  4. Step 4: Simplify right side
    489,234.94x = 474,652,877,569.07
  5. Step 5: Solve for x
    x = 474,652,877,569.07/489,234.94
  6. Step 6: Final answer
    x = 970,194.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.