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Finding the Third Proportional to 420,406 and 922,572

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Solution

The third proportional to 420,406 and 922,572 is: 2,024,564.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,406 : 922,572 = 922,572 : x
  2. Step 2: Convert to fraction form
    420,406/922,572 = 922,572/x
  3. Step 3: Cross multiply
    420,406x = 922,572 × 922,572
  4. Step 4: Simplify right side
    420,406x = 851,139,095,184
  5. Step 5: Solve for x
    x = 851,139,095,184/420,406
  6. Step 6: Final answer
    x = 2,024,564.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.