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Finding the Third Proportional to 63,637 and 143,776

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Solution

The third proportional to 63,637 and 143,776 is: 324,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,637 : 143,776 = 143,776 : x
  2. Step 2: Convert to fraction form
    63,637/143,776 = 143,776/x
  3. Step 3: Cross multiply
    63,637x = 143,776 × 143,776
  4. Step 4: Simplify right side
    63,637x = 20,671,538,176
  5. Step 5: Solve for x
    x = 20,671,538,176/63,637
  6. Step 6: Final answer
    x = 324,835.21

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.