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Finding the Third Proportional to 210,130 and 319,081

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Solution

The third proportional to 210,130 and 319,081 is: 484,522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,130 : 319,081 = 319,081 : x
  2. Step 2: Convert to fraction form
    210,130/319,081 = 319,081/x
  3. Step 3: Cross multiply
    210,130x = 319,081 × 319,081
  4. Step 4: Simplify right side
    210,130x = 101,812,684,561
  5. Step 5: Solve for x
    x = 101,812,684,561/210,130
  6. Step 6: Final answer
    x = 484,522.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.