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Finding the Third Proportional to 90,309 and 143,117.25

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Solution

The third proportional to 90,309 and 143,117.25 is: 226,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,309 : 143,117.25 = 143,117.25 : x
  2. Step 2: Convert to fraction form
    90,309/143,117.25 = 143,117.25/x
  3. Step 3: Cross multiply
    90,309x = 143,117.25 × 143,117.25
  4. Step 4: Simplify right side
    90,309x = 20,482,547,247.56
  5. Step 5: Solve for x
    x = 20,482,547,247.56/90,309
  6. Step 6: Final answer
    x = 226,805.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.