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Finding the Third Proportional to 810,000 and 1,208,304

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Solution

The third proportional to 810,000 and 1,208,304 is: 1,802,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,000 : 1,208,304 = 1,208,304 : x
  2. Step 2: Convert to fraction form
    810,000/1,208,304 = 1,208,304/x
  3. Step 3: Cross multiply
    810,000x = 1,208,304 × 1,208,304
  4. Step 4: Simplify right side
    810,000x = 1,459,998,556,416
  5. Step 5: Solve for x
    x = 1,459,998,556,416/810,000
  6. Step 6: Final answer
    x = 1,802,467.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.