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Finding the Third Proportional to 142,908 and 310,926

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Solution

The third proportional to 142,908 and 310,926 is: 676,484.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,908 : 310,926 = 310,926 : x
  2. Step 2: Convert to fraction form
    142,908/310,926 = 310,926/x
  3. Step 3: Cross multiply
    142,908x = 310,926 × 310,926
  4. Step 4: Simplify right side
    142,908x = 96,674,977,476
  5. Step 5: Solve for x
    x = 96,674,977,476/142,908
  6. Step 6: Final answer
    x = 676,484.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.