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Finding the Third Proportional to 420,023 and 921,712

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Solution

The third proportional to 420,023 and 921,712 is: 2,022,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,023 : 921,712 = 921,712 : x
  2. Step 2: Convert to fraction form
    420,023/921,712 = 921,712/x
  3. Step 3: Cross multiply
    420,023x = 921,712 × 921,712
  4. Step 4: Simplify right side
    420,023x = 849,553,010,944
  5. Step 5: Solve for x
    x = 849,553,010,944/420,023
  6. Step 6: Final answer
    x = 2,022,634.50

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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.