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Finding the Third Proportional to 147,394 and 315,817

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Solution

The third proportional to 147,394 and 315,817 is: 676,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,394 : 315,817 = 315,817 : x
  2. Step 2: Convert to fraction form
    147,394/315,817 = 315,817/x
  3. Step 3: Cross multiply
    147,394x = 315,817 × 315,817
  4. Step 4: Simplify right side
    147,394x = 99,740,377,489
  5. Step 5: Solve for x
    x = 99,740,377,489/147,394
  6. Step 6: Final answer
    x = 676,692.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.