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Finding the Third Proportional to 420,133.50 and 921,888

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Solution

The third proportional to 420,133.50 and 921,888 is: 2,022,874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,133.50 : 921,888 = 921,888 : x
  2. Step 2: Convert to fraction form
    420,133.50/921,888 = 921,888/x
  3. Step 3: Cross multiply
    420,133.50x = 921,888 × 921,888
  4. Step 4: Simplify right side
    420,133.50x = 849,877,484,544
  5. Step 5: Solve for x
    x = 849,877,484,544/420,133.50
  6. Step 6: Final answer
    x = 2,022,874.84

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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.