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Finding the Third Proportional to 421,726 and 929,840

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Solution

The third proportional to 421,726 and 929,840 is: 2,050,152.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,726 : 929,840 = 929,840 : x
  2. Step 2: Convert to fraction form
    421,726/929,840 = 929,840/x
  3. Step 3: Cross multiply
    421,726x = 929,840 × 929,840
  4. Step 4: Simplify right side
    421,726x = 864,602,425,600
  5. Step 5: Solve for x
    x = 864,602,425,600/421,726
  6. Step 6: Final answer
    x = 2,050,152.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.