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Finding the Third Proportional to 515,867.63 and 688,007.25

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Solution

The third proportional to 515,867.63 and 688,007.25 is: 917,588.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,867.63 : 688,007.25 = 688,007.25 : x
  2. Step 2: Convert to fraction form
    515,867.63/688,007.25 = 688,007.25/x
  3. Step 3: Cross multiply
    515,867.63x = 688,007.25 × 688,007.25
  4. Step 4: Simplify right side
    515,867.63x = 473,353,976,052.56
  5. Step 5: Solve for x
    x = 473,353,976,052.56/515,867.63
  6. Step 6: Final answer
    x = 917,588.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.