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Finding the Third Proportional to 426,924 and 669,690

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Solution

The third proportional to 426,924 and 669,690 is: 1,050,502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,924 : 669,690 = 669,690 : x
  2. Step 2: Convert to fraction form
    426,924/669,690 = 669,690/x
  3. Step 3: Cross multiply
    426,924x = 669,690 × 669,690
  4. Step 4: Simplify right side
    426,924x = 448,484,696,100
  5. Step 5: Solve for x
    x = 448,484,696,100/426,924
  6. Step 6: Final answer
    x = 1,050,502.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.