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Finding the Third Proportional to 421,310 and 901,669

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Solution

The third proportional to 421,310 and 901,669 is: 1,929,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,310 : 901,669 = 901,669 : x
  2. Step 2: Convert to fraction form
    421,310/901,669 = 901,669/x
  3. Step 3: Cross multiply
    421,310x = 901,669 × 901,669
  4. Step 4: Simplify right side
    421,310x = 813,006,985,561
  5. Step 5: Solve for x
    x = 813,006,985,561/421,310
  6. Step 6: Final answer
    x = 1,929,712.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.