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Finding the Third Proportional to 915,840 and 1,346,336

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Solution

The third proportional to 915,840 and 1,346,336 is: 1,979,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,840 : 1,346,336 = 1,346,336 : x
  2. Step 2: Convert to fraction form
    915,840/1,346,336 = 1,346,336/x
  3. Step 3: Cross multiply
    915,840x = 1,346,336 × 1,346,336
  4. Step 4: Simplify right side
    915,840x = 1,812,620,624,896
  5. Step 5: Solve for x
    x = 1,812,620,624,896/915,840
  6. Step 6: Final answer
    x = 1,979,189.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.