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Finding the Third Proportional to 272,686.50 and 580,365

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Solution

The third proportional to 272,686.50 and 580,365 is: 1,235,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,686.50 : 580,365 = 580,365 : x
  2. Step 2: Convert to fraction form
    272,686.50/580,365 = 580,365/x
  3. Step 3: Cross multiply
    272,686.50x = 580,365 × 580,365
  4. Step 4: Simplify right side
    272,686.50x = 336,823,533,225
  5. Step 5: Solve for x
    x = 336,823,533,225/272,686.50
  6. Step 6: Final answer
    x = 1,235,204.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.