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Finding the Third Proportional to 155,527 and 211,039

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Solution

The third proportional to 155,527 and 211,039 is: 286,364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,527 : 211,039 = 211,039 : x
  2. Step 2: Convert to fraction form
    155,527/211,039 = 211,039/x
  3. Step 3: Cross multiply
    155,527x = 211,039 × 211,039
  4. Step 4: Simplify right side
    155,527x = 44,537,459,521
  5. Step 5: Solve for x
    x = 44,537,459,521/155,527
  6. Step 6: Final answer
    x = 286,364.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.