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Finding the Third Proportional to 130,770 and 202,070.25

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Solution

The third proportional to 130,770 and 202,070.25 is: 312,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,770 : 202,070.25 = 202,070.25 : x
  2. Step 2: Convert to fraction form
    130,770/202,070.25 = 202,070.25/x
  3. Step 3: Cross multiply
    130,770x = 202,070.25 × 202,070.25
  4. Step 4: Simplify right side
    130,770x = 40,832,385,935.06
  5. Step 5: Solve for x
    x = 40,832,385,935.06/130,770
  6. Step 6: Final answer
    x = 312,245.82

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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.