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Finding the Third Proportional to 145,669 and 317,817

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Solution

The third proportional to 145,669 and 317,817 is: 693,405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,669 : 317,817 = 317,817 : x
  2. Step 2: Convert to fraction form
    145,669/317,817 = 317,817/x
  3. Step 3: Cross multiply
    145,669x = 317,817 × 317,817
  4. Step 4: Simplify right side
    145,669x = 101,007,645,489
  5. Step 5: Solve for x
    x = 101,007,645,489/145,669
  6. Step 6: Final answer
    x = 693,405.22

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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.