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Finding the Third Proportional to 521,156 and 778,664

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Solution

The third proportional to 521,156 and 778,664 is: 1,163,409.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,156 : 778,664 = 778,664 : x
  2. Step 2: Convert to fraction form
    521,156/778,664 = 778,664/x
  3. Step 3: Cross multiply
    521,156x = 778,664 × 778,664
  4. Step 4: Simplify right side
    521,156x = 606,317,624,896
  5. Step 5: Solve for x
    x = 606,317,624,896/521,156
  6. Step 6: Final answer
    x = 1,163,409.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.