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Finding the Third Proportional to 320,782.78 and 688,950.56

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Solution

The third proportional to 320,782.78 and 688,950.56 is: 1,479,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,782.78 : 688,950.56 = 688,950.56 : x
  2. Step 2: Convert to fraction form
    320,782.78/688,950.56 = 688,950.56/x
  3. Step 3: Cross multiply
    320,782.78x = 688,950.56 × 688,950.56
  4. Step 4: Simplify right side
    320,782.78x = 474,652,877,569.07
  5. Step 5: Solve for x
    x = 474,652,877,569.07/320,782.78
  6. Step 6: Final answer
    x = 1,479,670.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.