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Finding the Third Proportional to 121,292.50 and 173,681.50

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Solution

The third proportional to 121,292.50 and 173,681.50 is: 248,698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,292.50 : 173,681.50 = 173,681.50 : x
  2. Step 2: Convert to fraction form
    121,292.50/173,681.50 = 173,681.50/x
  3. Step 3: Cross multiply
    121,292.50x = 173,681.50 × 173,681.50
  4. Step 4: Simplify right side
    121,292.50x = 30,165,263,442.25
  5. Step 5: Solve for x
    x = 30,165,263,442.25/121,292.50
  6. Step 6: Final answer
    x = 248,698.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.