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Finding the Third Proportional to 358,959 and 777,354

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Solution

The third proportional to 358,959 and 777,354 is: 1,683,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,959 : 777,354 = 777,354 : x
  2. Step 2: Convert to fraction form
    358,959/777,354 = 777,354/x
  3. Step 3: Cross multiply
    358,959x = 777,354 × 777,354
  4. Step 4: Simplify right side
    358,959x = 604,279,241,316
  5. Step 5: Solve for x
    x = 604,279,241,316/358,959
  6. Step 6: Final answer
    x = 1,683,421.34

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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.