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Finding the Third Proportional to 359,289 and 778,383

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Solution

The third proportional to 359,289 and 778,383 is: 1,686,330.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,289 : 778,383 = 778,383 : x
  2. Step 2: Convert to fraction form
    359,289/778,383 = 778,383/x
  3. Step 3: Cross multiply
    359,289x = 778,383 × 778,383
  4. Step 4: Simplify right side
    359,289x = 605,880,094,689
  5. Step 5: Solve for x
    x = 605,880,094,689/359,289
  6. Step 6: Final answer
    x = 1,686,330.77

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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.