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Finding the Third Proportional to 121,567.50 and 260,145

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Solution

The third proportional to 121,567.50 and 260,145 is: 556,690.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,567.50 : 260,145 = 260,145 : x
  2. Step 2: Convert to fraction form
    121,567.50/260,145 = 260,145/x
  3. Step 3: Cross multiply
    121,567.50x = 260,145 × 260,145
  4. Step 4: Simplify right side
    121,567.50x = 67,675,421,025
  5. Step 5: Solve for x
    x = 67,675,421,025/121,567.50
  6. Step 6: Final answer
    x = 556,690.08

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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.