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Finding the Third Proportional to 238,407.05 and 357,611.20

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Solution

The third proportional to 238,407.05 and 357,611.20 is: 536,417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,407.05 : 357,611.20 = 357,611.20 : x
  2. Step 2: Convert to fraction form
    238,407.05/357,611.20 = 357,611.20/x
  3. Step 3: Cross multiply
    238,407.05x = 357,611.20 × 357,611.20
  4. Step 4: Simplify right side
    238,407.05x = 127,885,772,600.51
  5. Step 5: Solve for x
    x = 127,885,772,600.51/238,407.05
  6. Step 6: Final answer
    x = 536,417.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.