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Finding the Third Proportional to 212,762 and 317,637

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Solution

The third proportional to 212,762 and 317,637 is: 474,207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,762 : 317,637 = 317,637 : x
  2. Step 2: Convert to fraction form
    212,762/317,637 = 317,637/x
  3. Step 3: Cross multiply
    212,762x = 317,637 × 317,637
  4. Step 4: Simplify right side
    212,762x = 100,893,263,769
  5. Step 5: Solve for x
    x = 100,893,263,769/212,762
  6. Step 6: Final answer
    x = 474,207.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.