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Finding the Third Proportional to 286,641 and 613,458

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Solution

The third proportional to 286,641 and 613,458 is: 1,312,899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,641 : 613,458 = 613,458 : x
  2. Step 2: Convert to fraction form
    286,641/613,458 = 613,458/x
  3. Step 3: Cross multiply
    286,641x = 613,458 × 613,458
  4. Step 4: Simplify right side
    286,641x = 376,330,717,764
  5. Step 5: Solve for x
    x = 376,330,717,764/286,641
  6. Step 6: Final answer
    x = 1,312,899.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.