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Finding the Third Proportional to 551,097 and 780,015.75

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Solution

The third proportional to 551,097 and 780,015.75 is: 1,104,024.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,097 : 780,015.75 = 780,015.75 : x
  2. Step 2: Convert to fraction form
    551,097/780,015.75 = 780,015.75/x
  3. Step 3: Cross multiply
    551,097x = 780,015.75 × 780,015.75
  4. Step 4: Simplify right side
    551,097x = 608,424,570,248.06
  5. Step 5: Solve for x
    x = 608,424,570,248.06/551,097
  6. Step 6: Final answer
    x = 1,104,024.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.