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Finding the Third Proportional to 611,168 and 917,904

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Solution

The third proportional to 611,168 and 917,904 is: 1,378,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,168 : 917,904 = 917,904 : x
  2. Step 2: Convert to fraction form
    611,168/917,904 = 917,904/x
  3. Step 3: Cross multiply
    611,168x = 917,904 × 917,904
  4. Step 4: Simplify right side
    611,168x = 842,547,753,216
  5. Step 5: Solve for x
    x = 842,547,753,216/611,168
  6. Step 6: Final answer
    x = 1,378,586.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.