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Finding the Third Proportional to 130,410.75 and 285,729

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Solution

The third proportional to 130,410.75 and 285,729 is: 626,030.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,410.75 : 285,729 = 285,729 : x
  2. Step 2: Convert to fraction form
    130,410.75/285,729 = 285,729/x
  3. Step 3: Cross multiply
    130,410.75x = 285,729 × 285,729
  4. Step 4: Simplify right side
    130,410.75x = 81,641,061,441
  5. Step 5: Solve for x
    x = 81,641,061,441/130,410.75
  6. Step 6: Final answer
    x = 626,030.15

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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.