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Finding the Third Proportional to 272,281.50 and 598,848.19

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Solution

The third proportional to 272,281.50 and 598,848.19 is: 1,317,089.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,281.50 : 598,848.19 = 598,848.19 : x
  2. Step 2: Convert to fraction form
    272,281.50/598,848.19 = 598,848.19/x
  3. Step 3: Cross multiply
    272,281.50x = 598,848.19 × 598,848.19
  4. Step 4: Simplify right side
    272,281.50x = 358,619,151,672.04
  5. Step 5: Solve for x
    x = 358,619,151,672.04/272,281.50
  6. Step 6: Final answer
    x = 1,317,089.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.