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Finding the Third Proportional to 275,559 and 390,024

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Solution

The third proportional to 275,559 and 390,024 is: 552,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,559 : 390,024 = 390,024 : x
  2. Step 2: Convert to fraction form
    275,559/390,024 = 390,024/x
  3. Step 3: Cross multiply
    275,559x = 390,024 × 390,024
  4. Step 4: Simplify right side
    275,559x = 152,118,720,576
  5. Step 5: Solve for x
    x = 152,118,720,576/275,559
  6. Step 6: Final answer
    x = 552,036.84

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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.