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Finding the Third Proportional to 426,816 and 915,840

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Solution

The third proportional to 426,816 and 915,840 is: 1,965,162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,816 : 915,840 = 915,840 : x
  2. Step 2: Convert to fraction form
    426,816/915,840 = 915,840/x
  3. Step 3: Cross multiply
    426,816x = 915,840 × 915,840
  4. Step 4: Simplify right side
    426,816x = 838,762,905,600
  5. Step 5: Solve for x
    x = 838,762,905,600/426,816
  6. Step 6: Final answer
    x = 1,965,162.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.