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Finding the Third Proportional to 145,877 and 314,074

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Solution

The third proportional to 145,877 and 314,074 is: 676,203.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,877 : 314,074 = 314,074 : x
  2. Step 2: Convert to fraction form
    145,877/314,074 = 314,074/x
  3. Step 3: Cross multiply
    145,877x = 314,074 × 314,074
  4. Step 4: Simplify right side
    145,877x = 98,642,477,476
  5. Step 5: Solve for x
    x = 98,642,477,476/145,877
  6. Step 6: Final answer
    x = 676,203.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.