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Finding the Third Proportional to 355,959 and 551,316

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Solution

The third proportional to 355,959 and 551,316 is: 853,888.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,959 : 551,316 = 551,316 : x
  2. Step 2: Convert to fraction form
    355,959/551,316 = 551,316/x
  3. Step 3: Cross multiply
    355,959x = 551,316 × 551,316
  4. Step 4: Simplify right side
    355,959x = 303,949,331,856
  5. Step 5: Solve for x
    x = 303,949,331,856/355,959
  6. Step 6: Final answer
    x = 853,888.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.