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Finding the Third Proportional to 551,973.50 and 822,128

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Solution

The third proportional to 551,973.50 and 822,128 is: 1,224,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,973.50 : 822,128 = 822,128 : x
  2. Step 2: Convert to fraction form
    551,973.50/822,128 = 822,128/x
  3. Step 3: Cross multiply
    551,973.50x = 822,128 × 822,128
  4. Step 4: Simplify right side
    551,973.50x = 675,894,448,384
  5. Step 5: Solve for x
    x = 675,894,448,384/551,973.50
  6. Step 6: Final answer
    x = 1,224,505.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.