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Finding the Third Proportional to 145,360 and 206,136

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Solution

The third proportional to 145,360 and 206,136 is: 292,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,360 : 206,136 = 206,136 : x
  2. Step 2: Convert to fraction form
    145,360/206,136 = 206,136/x
  3. Step 3: Cross multiply
    145,360x = 206,136 × 206,136
  4. Step 4: Simplify right side
    145,360x = 42,492,050,496
  5. Step 5: Solve for x
    x = 42,492,050,496/145,360
  6. Step 6: Final answer
    x = 292,322.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.