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Finding the Third Proportional to 178,817.63 and 390,850.31

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Solution

The third proportional to 178,817.63 and 390,850.31 is: 854,300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,817.63 : 390,850.31 = 390,850.31 : x
  2. Step 2: Convert to fraction form
    178,817.63/390,850.31 = 390,850.31/x
  3. Step 3: Cross multiply
    178,817.63x = 390,850.31 × 390,850.31
  4. Step 4: Simplify right side
    178,817.63x = 152,763,966,781.35
  5. Step 5: Solve for x
    x = 152,763,966,781.35/178,817.63
  6. Step 6: Final answer
    x = 854,300.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.