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Finding the Third Proportional to 145,389 and 317,781

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Solution

The third proportional to 145,389 and 317,781 is: 694,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,389 : 317,781 = 317,781 : x
  2. Step 2: Convert to fraction form
    145,389/317,781 = 317,781/x
  3. Step 3: Cross multiply
    145,389x = 317,781 × 317,781
  4. Step 4: Simplify right side
    145,389x = 100,984,763,961
  5. Step 5: Solve for x
    x = 100,984,763,961/145,389
  6. Step 6: Final answer
    x = 694,583.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.