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Finding the Third Proportional to 288,392.06 and 621,160.31

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Solution

The third proportional to 288,392.06 and 621,160.31 is: 1,337,901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,392.06 : 621,160.31 = 621,160.31 : x
  2. Step 2: Convert to fraction form
    288,392.06/621,160.31 = 621,160.31/x
  3. Step 3: Cross multiply
    288,392.06x = 621,160.31 × 621,160.31
  4. Step 4: Simplify right side
    288,392.06x = 385,840,133,825.10
  5. Step 5: Solve for x
    x = 385,840,133,825.10/288,392.06
  6. Step 6: Final answer
    x = 1,337,901.36

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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.