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Finding the Third Proportional to 420,886.13 and 920,504.25

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Solution

The third proportional to 420,886.13 and 920,504.25 is: 2,013,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,886.13 : 920,504.25 = 920,504.25 : x
  2. Step 2: Convert to fraction form
    420,886.13/920,504.25 = 920,504.25/x
  3. Step 3: Cross multiply
    420,886.13x = 920,504.25 × 920,504.25
  4. Step 4: Simplify right side
    420,886.13x = 847,328,074,268.06
  5. Step 5: Solve for x
    x = 847,328,074,268.06/420,886.13
  6. Step 6: Final answer
    x = 2,013,200.30

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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.