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Finding the Third Proportional to 178,459 and 261,730.50

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Solution

The third proportional to 178,459 and 261,730.50 is: 383,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,459 : 261,730.50 = 261,730.50 : x
  2. Step 2: Convert to fraction form
    178,459/261,730.50 = 261,730.50/x
  3. Step 3: Cross multiply
    178,459x = 261,730.50 × 261,730.50
  4. Step 4: Simplify right side
    178,459x = 68,502,854,630.25
  5. Step 5: Solve for x
    x = 68,502,854,630.25/178,459
  6. Step 6: Final answer
    x = 383,857.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.