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Finding the Third Proportional to 430,114 and 971,220

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Solution

The third proportional to 430,114 and 971,220 is: 2,193,065.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,114 : 971,220 = 971,220 : x
  2. Step 2: Convert to fraction form
    430,114/971,220 = 971,220/x
  3. Step 3: Cross multiply
    430,114x = 971,220 × 971,220
  4. Step 4: Simplify right side
    430,114x = 943,268,288,400
  5. Step 5: Solve for x
    x = 943,268,288,400/430,114
  6. Step 6: Final answer
    x = 2,193,065.76

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.