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Finding the Third Proportional to 140,484 and 310,512

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Solution

The third proportional to 140,484 and 310,512 is: 686,325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,484 : 310,512 = 310,512 : x
  2. Step 2: Convert to fraction form
    140,484/310,512 = 310,512/x
  3. Step 3: Cross multiply
    140,484x = 310,512 × 310,512
  4. Step 4: Simplify right side
    140,484x = 96,417,702,144
  5. Step 5: Solve for x
    x = 96,417,702,144/140,484
  6. Step 6: Final answer
    x = 686,325.15

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.