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Finding the Third Proportional to 402,923 and 877,018

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Solution

The third proportional to 402,923 and 877,018 is: 1,908,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,923 : 877,018 = 877,018 : x
  2. Step 2: Convert to fraction form
    402,923/877,018 = 877,018/x
  3. Step 3: Cross multiply
    402,923x = 877,018 × 877,018
  4. Step 4: Simplify right side
    402,923x = 769,160,572,324
  5. Step 5: Solve for x
    x = 769,160,572,324/402,923
  6. Step 6: Final answer
    x = 1,908,951.77

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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.