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Finding the Third Proportional to 121,389 and 264,900

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Solution

The third proportional to 121,389 and 264,900 is: 578,075.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,389 : 264,900 = 264,900 : x
  2. Step 2: Convert to fraction form
    121,389/264,900 = 264,900/x
  3. Step 3: Cross multiply
    121,389x = 264,900 × 264,900
  4. Step 4: Simplify right side
    121,389x = 70,172,010,000
  5. Step 5: Solve for x
    x = 70,172,010,000/121,389
  6. Step 6: Final answer
    x = 578,075.53

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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.