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Finding the Third Proportional to 554,400 and 843,264

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Solution

The third proportional to 554,400 and 843,264 is: 1,282,637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,400 : 843,264 = 843,264 : x
  2. Step 2: Convert to fraction form
    554,400/843,264 = 843,264/x
  3. Step 3: Cross multiply
    554,400x = 843,264 × 843,264
  4. Step 4: Simplify right side
    554,400x = 711,094,173,696
  5. Step 5: Solve for x
    x = 711,094,173,696/554,400
  6. Step 6: Final answer
    x = 1,282,637.40

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Why These Related Problems?

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