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Finding the Third Proportional to 508,413 and 1,084,380

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Solution

The third proportional to 508,413 and 1,084,380 is: 2,312,844.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,413 : 1,084,380 = 1,084,380 : x
  2. Step 2: Convert to fraction form
    508,413/1,084,380 = 1,084,380/x
  3. Step 3: Cross multiply
    508,413x = 1,084,380 × 1,084,380
  4. Step 4: Simplify right side
    508,413x = 1,175,879,984,400
  5. Step 5: Solve for x
    x = 1,175,879,984,400/508,413
  6. Step 6: Final answer
    x = 2,312,844.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.