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Finding the Third Proportional to 289,521 and 439,202.25

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Solution

The third proportional to 289,521 and 439,202.25 is: 666,268.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,521 : 439,202.25 = 439,202.25 : x
  2. Step 2: Convert to fraction form
    289,521/439,202.25 = 439,202.25/x
  3. Step 3: Cross multiply
    289,521x = 439,202.25 × 439,202.25
  4. Step 4: Simplify right side
    289,521x = 192,898,616,405.06
  5. Step 5: Solve for x
    x = 192,898,616,405.06/289,521
  6. Step 6: Final answer
    x = 666,268.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.