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Finding the Third Proportional to 402,921 and 877,014

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Solution

The third proportional to 402,921 and 877,014 is: 1,908,943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,921 : 877,014 = 877,014 : x
  2. Step 2: Convert to fraction form
    402,921/877,014 = 877,014/x
  3. Step 3: Cross multiply
    402,921x = 877,014 × 877,014
  4. Step 4: Simplify right side
    402,921x = 769,153,556,196
  5. Step 5: Solve for x
    x = 769,153,556,196/402,921
  6. Step 6: Final answer
    x = 1,908,943.83

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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.