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Finding the Third Proportional to 130,410.75 and 285,758.25

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Solution

The third proportional to 130,410.75 and 285,758.25 is: 626,158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,410.75 : 285,758.25 = 285,758.25 : x
  2. Step 2: Convert to fraction form
    130,410.75/285,758.25 = 285,758.25/x
  3. Step 3: Cross multiply
    130,410.75x = 285,758.25 × 285,758.25
  4. Step 4: Simplify right side
    130,410.75x = 81,657,777,443.06
  5. Step 5: Solve for x
    x = 81,657,777,443.06/130,410.75
  6. Step 6: Final answer
    x = 626,158.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.