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Finding the Third Proportional to 420,384 and 922,528

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Solution

The third proportional to 420,384 and 922,528 is: 2,024,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,384 : 922,528 = 922,528 : x
  2. Step 2: Convert to fraction form
    420,384/922,528 = 922,528/x
  3. Step 3: Cross multiply
    420,384x = 922,528 × 922,528
  4. Step 4: Simplify right side
    420,384x = 851,057,910,784
  5. Step 5: Solve for x
    x = 851,057,910,784/420,384
  6. Step 6: Final answer
    x = 2,024,477.41

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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.