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Finding the Third Proportional to 319,966.03 and 686,986.31

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Solution

The third proportional to 319,966.03 and 686,986.31 is: 1,475,000.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,966.03 : 686,986.31 = 686,986.31 : x
  2. Step 2: Convert to fraction form
    319,966.03/686,986.31 = 686,986.31/x
  3. Step 3: Cross multiply
    319,966.03x = 686,986.31 × 686,986.31
  4. Step 4: Simplify right side
    319,966.03x = 471,950,193,562.35
  5. Step 5: Solve for x
    x = 471,950,193,562.35/319,966.03
  6. Step 6: Final answer
    x = 1,475,000.93

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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.