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Finding the Third Proportional to 411,970 and 551,779

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Solution

The third proportional to 411,970 and 551,779 is: 739,034.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,970 : 551,779 = 551,779 : x
  2. Step 2: Convert to fraction form
    411,970/551,779 = 551,779/x
  3. Step 3: Cross multiply
    411,970x = 551,779 × 551,779
  4. Step 4: Simplify right side
    411,970x = 304,460,064,841
  5. Step 5: Solve for x
    x = 304,460,064,841/411,970
  6. Step 6: Final answer
    x = 739,034.55

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.