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Finding the Third Proportional to 623,056 and 946,904

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Solution

The third proportional to 623,056 and 946,904 is: 1,439,079.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,056 : 946,904 = 946,904 : x
  2. Step 2: Convert to fraction form
    623,056/946,904 = 946,904/x
  3. Step 3: Cross multiply
    623,056x = 946,904 × 946,904
  4. Step 4: Simplify right side
    623,056x = 896,627,185,216
  5. Step 5: Solve for x
    x = 896,627,185,216/623,056
  6. Step 6: Final answer
    x = 1,439,079.61

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.