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Finding the Third Proportional to 130,815 and 282,543.75

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Solution

The third proportional to 130,815 and 282,543.75 is: 610,258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,815 : 282,543.75 = 282,543.75 : x
  2. Step 2: Convert to fraction form
    130,815/282,543.75 = 282,543.75/x
  3. Step 3: Cross multiply
    130,815x = 282,543.75 × 282,543.75
  4. Step 4: Simplify right side
    130,815x = 79,830,970,664.06
  5. Step 5: Solve for x
    x = 79,830,970,664.06/130,815
  6. Step 6: Final answer
    x = 610,258.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.