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Finding the Third Proportional to 143,547 and 220,342.50

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Solution

The third proportional to 143,547 and 220,342.50 is: 338,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,547 : 220,342.50 = 220,342.50 : x
  2. Step 2: Convert to fraction form
    143,547/220,342.50 = 220,342.50/x
  3. Step 3: Cross multiply
    143,547x = 220,342.50 × 220,342.50
  4. Step 4: Simplify right side
    143,547x = 48,550,817,306.25
  5. Step 5: Solve for x
    x = 48,550,817,306.25/143,547
  6. Step 6: Final answer
    x = 338,222.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.