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Finding the Third Proportional to 210,258 and 317,574

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Solution

The third proportional to 210,258 and 317,574 is: 479,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,258 : 317,574 = 317,574 : x
  2. Step 2: Convert to fraction form
    210,258/317,574 = 317,574/x
  3. Step 3: Cross multiply
    210,258x = 317,574 × 317,574
  4. Step 4: Simplify right side
    210,258x = 100,853,245,476
  5. Step 5: Solve for x
    x = 100,853,245,476/210,258
  6. Step 6: Final answer
    x = 479,664.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.