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Finding the Third Proportional to 650,409.75 and 708,405.75

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Solution

The third proportional to 650,409.75 and 708,405.75 is: 771,573.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,409.75 : 708,405.75 = 708,405.75 : x
  2. Step 2: Convert to fraction form
    650,409.75/708,405.75 = 708,405.75/x
  3. Step 3: Cross multiply
    650,409.75x = 708,405.75 × 708,405.75
  4. Step 4: Simplify right side
    650,409.75x = 501,838,706,633.06
  5. Step 5: Solve for x
    x = 501,838,706,633.06/650,409.75
  6. Step 6: Final answer
    x = 771,573.16

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.