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Finding the Third Proportional to 147,091 and 317,509

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Solution

The third proportional to 147,091 and 317,509 is: 685,371.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,091 : 317,509 = 317,509 : x
  2. Step 2: Convert to fraction form
    147,091/317,509 = 317,509/x
  3. Step 3: Cross multiply
    147,091x = 317,509 × 317,509
  4. Step 4: Simplify right side
    147,091x = 100,811,965,081
  5. Step 5: Solve for x
    x = 100,811,965,081/147,091
  6. Step 6: Final answer
    x = 685,371.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.