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Finding the Third Proportional to 917,449 and 1,097,330

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Solution

The third proportional to 917,449 and 1,097,330 is: 1,312,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,449 : 1,097,330 = 1,097,330 : x
  2. Step 2: Convert to fraction form
    917,449/1,097,330 = 1,097,330/x
  3. Step 3: Cross multiply
    917,449x = 1,097,330 × 1,097,330
  4. Step 4: Simplify right side
    917,449x = 1,204,133,128,900
  5. Step 5: Solve for x
    x = 1,204,133,128,900/917,449
  6. Step 6: Final answer
    x = 1,312,479.64

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.