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Finding the Third Proportional to 287,746 and 605,321

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Solution

The third proportional to 287,746 and 605,321 is: 1,273,392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,746 : 605,321 = 605,321 : x
  2. Step 2: Convert to fraction form
    287,746/605,321 = 605,321/x
  3. Step 3: Cross multiply
    287,746x = 605,321 × 605,321
  4. Step 4: Simplify right side
    287,746x = 366,413,513,041
  5. Step 5: Solve for x
    x = 366,413,513,041/287,746
  6. Step 6: Final answer
    x = 1,273,392.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.