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Finding the Third Proportional to 121,784.50 and 265,702.50

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Solution

The third proportional to 121,784.50 and 265,702.50 is: 579,694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,784.50 : 265,702.50 = 265,702.50 : x
  2. Step 2: Convert to fraction form
    121,784.50/265,702.50 = 265,702.50/x
  3. Step 3: Cross multiply
    121,784.50x = 265,702.50 × 265,702.50
  4. Step 4: Simplify right side
    121,784.50x = 70,597,818,506.25
  5. Step 5: Solve for x
    x = 70,597,818,506.25/121,784.50
  6. Step 6: Final answer
    x = 579,694.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.