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Finding the Third Proportional to 869,904 and 1,271,288

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Solution

The third proportional to 869,904 and 1,271,288 is: 1,857,875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,904 : 1,271,288 = 1,271,288 : x
  2. Step 2: Convert to fraction form
    869,904/1,271,288 = 1,271,288/x
  3. Step 3: Cross multiply
    869,904x = 1,271,288 × 1,271,288
  4. Step 4: Simplify right side
    869,904x = 1,616,173,178,944
  5. Step 5: Solve for x
    x = 1,616,173,178,944/869,904
  6. Step 6: Final answer
    x = 1,857,875.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.