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Finding the Third Proportional to 359,003 and 729,778

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Solution

The third proportional to 359,003 and 729,778 is: 1,483,486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,003 : 729,778 = 729,778 : x
  2. Step 2: Convert to fraction form
    359,003/729,778 = 729,778/x
  3. Step 3: Cross multiply
    359,003x = 729,778 × 729,778
  4. Step 4: Simplify right side
    359,003x = 532,575,929,284
  5. Step 5: Solve for x
    x = 532,575,929,284/359,003
  6. Step 6: Final answer
    x = 1,483,486.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.