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Finding the Third Proportional to 876,320 and 1,410,864

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Solution

The third proportional to 876,320 and 1,410,864 is: 2,271,473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,320 : 1,410,864 = 1,410,864 : x
  2. Step 2: Convert to fraction form
    876,320/1,410,864 = 1,410,864/x
  3. Step 3: Cross multiply
    876,320x = 1,410,864 × 1,410,864
  4. Step 4: Simplify right side
    876,320x = 1,990,537,226,496
  5. Step 5: Solve for x
    x = 1,990,537,226,496/876,320
  6. Step 6: Final answer
    x = 2,271,473.01

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.