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Finding the Third Proportional to 137,875.50 and 221,210.50

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Solution

The third proportional to 137,875.50 and 221,210.50 is: 354,915.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,875.50 : 221,210.50 = 221,210.50 : x
  2. Step 2: Convert to fraction form
    137,875.50/221,210.50 = 221,210.50/x
  3. Step 3: Cross multiply
    137,875.50x = 221,210.50 × 221,210.50
  4. Step 4: Simplify right side
    137,875.50x = 48,934,085,310.25
  5. Step 5: Solve for x
    x = 48,934,085,310.25/137,875.50
  6. Step 6: Final answer
    x = 354,915.02

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.