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Finding the Third Proportional to 145,970 and 315,931

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Solution

The third proportional to 145,970 and 315,931 is: 683,787.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,970 : 315,931 = 315,931 : x
  2. Step 2: Convert to fraction form
    145,970/315,931 = 315,931/x
  3. Step 3: Cross multiply
    145,970x = 315,931 × 315,931
  4. Step 4: Simplify right side
    145,970x = 99,812,396,761
  5. Step 5: Solve for x
    x = 99,812,396,761/145,970
  6. Step 6: Final answer
    x = 683,787.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.