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Finding the Third Proportional to 145,834 and 318,020

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Solution

The third proportional to 145,834 and 318,020 is: 693,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,834 : 318,020 = 318,020 : x
  2. Step 2: Convert to fraction form
    145,834/318,020 = 318,020/x
  3. Step 3: Cross multiply
    145,834x = 318,020 × 318,020
  4. Step 4: Simplify right side
    145,834x = 101,136,720,400
  5. Step 5: Solve for x
    x = 101,136,720,400/145,834
  6. Step 6: Final answer
    x = 693,505.77

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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.