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Finding the Third Proportional to 210,188 and 317,461

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Solution

The third proportional to 210,188 and 317,461 is: 479,482.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,188 : 317,461 = 317,461 : x
  2. Step 2: Convert to fraction form
    210,188/317,461 = 317,461/x
  3. Step 3: Cross multiply
    210,188x = 317,461 × 317,461
  4. Step 4: Simplify right side
    210,188x = 100,781,486,521
  5. Step 5: Solve for x
    x = 100,781,486,521/210,188
  6. Step 6: Final answer
    x = 479,482.59

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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.