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Finding the Third Proportional to 554,822 and 812,480

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Solution

The third proportional to 554,822 and 812,480 is: 1,189,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,822 : 812,480 = 812,480 : x
  2. Step 2: Convert to fraction form
    554,822/812,480 = 812,480/x
  3. Step 3: Cross multiply
    554,822x = 812,480 × 812,480
  4. Step 4: Simplify right side
    554,822x = 660,123,750,400
  5. Step 5: Solve for x
    x = 660,123,750,400/554,822
  6. Step 6: Final answer
    x = 1,189,793.75

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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.