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Finding the Third Proportional to 212,712.75 and 317,570.63

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Solution

The third proportional to 212,712.75 and 317,570.63 is: 474,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,712.75 : 317,570.63 = 317,570.63 : x
  2. Step 2: Convert to fraction form
    212,712.75/317,570.63 = 317,570.63/x
  3. Step 3: Cross multiply
    212,712.75x = 317,570.63 × 317,570.63
  4. Step 4: Simplify right side
    212,712.75x = 100,851,101,862.89
  5. Step 5: Solve for x
    x = 100,851,101,862.89/212,712.75
  6. Step 6: Final answer
    x = 474,118.74

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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.