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Finding the Third Proportional to 315,026 and 685,348

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Solution

The third proportional to 315,026 and 685,348 is: 1,490,994.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,026 : 685,348 = 685,348 : x
  2. Step 2: Convert to fraction form
    315,026/685,348 = 685,348/x
  3. Step 3: Cross multiply
    315,026x = 685,348 × 685,348
  4. Step 4: Simplify right side
    315,026x = 469,701,881,104
  5. Step 5: Solve for x
    x = 469,701,881,104/315,026
  6. Step 6: Final answer
    x = 1,490,994.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.