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Finding the Third Proportional to 420,603,012.28 and 920,361,210.96

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Solution

The third proportional to 420,603,012.28 and 920,361,210.96 is: 2,013,929,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,603,012.28 : 920,361,210.96 = 920,361,210.96 : x
  2. Step 2: Convert to fraction form
    420,603,012.28/920,361,210.96 = 920,361,210.96/x
  3. Step 3: Cross multiply
    420,603,012.28x = 920,361,210.96 × 920,361,210.96
  4. Step 4: Simplify right side
    420,603,012.28x = 847,064,758,641,469,440
  5. Step 5: Solve for x
    x = 847,064,758,641,469,440/420,603,012.28
  6. Step 6: Final answer
    x = 2,013,929,367.85

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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.