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Finding the Third Proportional to 272,117 and 409,213.50

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Solution

The third proportional to 272,117 and 409,213.50 is: 615,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,117 : 409,213.50 = 409,213.50 : x
  2. Step 2: Convert to fraction form
    272,117/409,213.50 = 409,213.50/x
  3. Step 3: Cross multiply
    272,117x = 409,213.50 × 409,213.50
  4. Step 4: Simplify right side
    272,117x = 167,455,688,582.25
  5. Step 5: Solve for x
    x = 167,455,688,582.25/272,117
  6. Step 6: Final answer
    x = 615,381.21

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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.