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Finding the Third Proportional to 153,495 and 220,360.50

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Solution

The third proportional to 153,495 and 220,360.50 is: 316,353.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,495 : 220,360.50 = 220,360.50 : x
  2. Step 2: Convert to fraction form
    153,495/220,360.50 = 220,360.50/x
  3. Step 3: Cross multiply
    153,495x = 220,360.50 × 220,360.50
  4. Step 4: Simplify right side
    153,495x = 48,558,749,960.25
  5. Step 5: Solve for x
    x = 48,558,749,960.25/153,495
  6. Step 6: Final answer
    x = 316,353.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.