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Finding the Third Proportional to 137,820.50 and 207,533.50

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Solution

The third proportional to 137,820.50 and 207,533.50 is: 312,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,820.50 : 207,533.50 = 207,533.50 : x
  2. Step 2: Convert to fraction form
    137,820.50/207,533.50 = 207,533.50/x
  3. Step 3: Cross multiply
    137,820.50x = 207,533.50 × 207,533.50
  4. Step 4: Simplify right side
    137,820.50x = 43,070,153,622.25
  5. Step 5: Solve for x
    x = 43,070,153,622.25/137,820.50
  6. Step 6: Final answer
    x = 312,509.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.