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Finding the Third Proportional to 210,319 and 317,987

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Solution

The third proportional to 210,319 and 317,987 is: 480,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,319 : 317,987 = 317,987 : x
  2. Step 2: Convert to fraction form
    210,319/317,987 = 317,987/x
  3. Step 3: Cross multiply
    210,319x = 317,987 × 317,987
  4. Step 4: Simplify right side
    210,319x = 101,115,732,169
  5. Step 5: Solve for x
    x = 101,115,732,169/210,319
  6. Step 6: Final answer
    x = 480,773.17

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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.