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Finding the Third Proportional to 386,464 and 613,284

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Solution

The third proportional to 386,464 and 613,284 is: 973,227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,464 : 613,284 = 613,284 : x
  2. Step 2: Convert to fraction form
    386,464/613,284 = 613,284/x
  3. Step 3: Cross multiply
    386,464x = 613,284 × 613,284
  4. Step 4: Simplify right side
    386,464x = 376,117,264,656
  5. Step 5: Solve for x
    x = 376,117,264,656/386,464
  6. Step 6: Final answer
    x = 973,227.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.