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Finding the Third Proportional to 224,860.50 and 345,973.50

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Solution

The third proportional to 224,860.50 and 345,973.50 is: 532,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,860.50 : 345,973.50 = 345,973.50 : x
  2. Step 2: Convert to fraction form
    224,860.50/345,973.50 = 345,973.50/x
  3. Step 3: Cross multiply
    224,860.50x = 345,973.50 × 345,973.50
  4. Step 4: Simplify right side
    224,860.50x = 119,697,662,702.25
  5. Step 5: Solve for x
    x = 119,697,662,702.25/224,860.50
  6. Step 6: Final answer
    x = 532,319.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.