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Finding the Third Proportional to 377,626 and 403,506

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Solution

The third proportional to 377,626 and 403,506 is: 431,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,626 : 403,506 = 403,506 : x
  2. Step 2: Convert to fraction form
    377,626/403,506 = 403,506/x
  3. Step 3: Cross multiply
    377,626x = 403,506 × 403,506
  4. Step 4: Simplify right side
    377,626x = 162,817,092,036
  5. Step 5: Solve for x
    x = 162,817,092,036/377,626
  6. Step 6: Final answer
    x = 431,159.64

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.