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Finding the Third Proportional to 121,681.50 and 260,178

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Solution

The third proportional to 121,681.50 and 260,178 is: 556,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,681.50 : 260,178 = 260,178 : x
  2. Step 2: Convert to fraction form
    121,681.50/260,178 = 260,178/x
  3. Step 3: Cross multiply
    121,681.50x = 260,178 × 260,178
  4. Step 4: Simplify right side
    121,681.50x = 67,692,591,684
  5. Step 5: Solve for x
    x = 67,692,591,684/121,681.50
  6. Step 6: Final answer
    x = 556,309.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.