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Finding the Third Proportional to 359,080 and 778,000

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Solution

The third proportional to 359,080 and 778,000 is: 1,685,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,080 : 778,000 = 778,000 : x
  2. Step 2: Convert to fraction form
    359,080/778,000 = 778,000/x
  3. Step 3: Cross multiply
    359,080x = 778,000 × 778,000
  4. Step 4: Simplify right side
    359,080x = 605,284,000,000
  5. Step 5: Solve for x
    x = 605,284,000,000/359,080
  6. Step 6: Final answer
    x = 1,685,652.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.