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Finding the Third Proportional to 137,681.72 and 210,479.77

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Solution

The third proportional to 137,681.72 and 210,479.77 is: 321,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,681.72 : 210,479.77 = 210,479.77 : x
  2. Step 2: Convert to fraction form
    137,681.72/210,479.77 = 210,479.77/x
  3. Step 3: Cross multiply
    137,681.72x = 210,479.77 × 210,479.77
  4. Step 4: Simplify right side
    137,681.72x = 44,301,731,737.55
  5. Step 5: Solve for x
    x = 44,301,731,737.55/137,681.72
  6. Step 6: Final answer
    x = 321,769.17

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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.