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Finding the Third Proportional to 420,022.13 and 921,692.25

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Solution

The third proportional to 420,022.13 and 921,692.25 is: 2,022,552.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,022.13 : 921,692.25 = 921,692.25 : x
  2. Step 2: Convert to fraction form
    420,022.13/921,692.25 = 921,692.25/x
  3. Step 3: Cross multiply
    420,022.13x = 921,692.25 × 921,692.25
  4. Step 4: Simplify right side
    420,022.13x = 849,516,603,710.06
  5. Step 5: Solve for x
    x = 849,516,603,710.06/420,022.13
  6. Step 6: Final answer
    x = 2,022,552.04

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1.5x scale

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.