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Finding the Third Proportional to 136,747.50 and 295,365

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Solution

The third proportional to 136,747.50 and 295,365 is: 637,967.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,747.50 : 295,365 = 295,365 : x
  2. Step 2: Convert to fraction form
    136,747.50/295,365 = 295,365/x
  3. Step 3: Cross multiply
    136,747.50x = 295,365 × 295,365
  4. Step 4: Simplify right side
    136,747.50x = 87,240,483,225
  5. Step 5: Solve for x
    x = 87,240,483,225/136,747.50
  6. Step 6: Final answer
    x = 637,967.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.