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Finding the Third Proportional to 130,858.50 and 286,641

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Solution

The third proportional to 130,858.50 and 286,641 is: 627,877.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,858.50 : 286,641 = 286,641 : x
  2. Step 2: Convert to fraction form
    130,858.50/286,641 = 286,641/x
  3. Step 3: Cross multiply
    130,858.50x = 286,641 × 286,641
  4. Step 4: Simplify right side
    130,858.50x = 82,163,062,881
  5. Step 5: Solve for x
    x = 82,163,062,881/130,858.50
  6. Step 6: Final answer
    x = 627,877.16

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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.