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Finding the Third Proportional to 688,955.63 and 900,568.13

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Solution

The third proportional to 688,955.63 and 900,568.13 is: 1,177,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,955.63 : 900,568.13 = 900,568.13 : x
  2. Step 2: Convert to fraction form
    688,955.63/900,568.13 = 900,568.13/x
  3. Step 3: Cross multiply
    688,955.63x = 900,568.13 × 900,568.13
  4. Step 4: Simplify right side
    688,955.63x = 811,022,947,766.02
  5. Step 5: Solve for x
    x = 811,022,947,766.02/688,955.63
  6. Step 6: Final answer
    x = 1,177,177.34

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.