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Finding the Third Proportional to 130,617 and 201,818.25

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Solution

The third proportional to 130,617 and 201,818.25 is: 311,832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,617 : 201,818.25 = 201,818.25 : x
  2. Step 2: Convert to fraction form
    130,617/201,818.25 = 201,818.25/x
  3. Step 3: Cross multiply
    130,617x = 201,818.25 × 201,818.25
  4. Step 4: Simplify right side
    130,617x = 40,730,606,033.06
  5. Step 5: Solve for x
    x = 40,730,606,033.06/130,617
  6. Step 6: Final answer
    x = 311,832.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.