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Finding the Third Proportional to 357,410 and 555,717

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Solution

The third proportional to 357,410 and 555,717 is: 864,053.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,410 : 555,717 = 555,717 : x
  2. Step 2: Convert to fraction form
    357,410/555,717 = 555,717/x
  3. Step 3: Cross multiply
    357,410x = 555,717 × 555,717
  4. Step 4: Simplify right side
    357,410x = 308,821,384,089
  5. Step 5: Solve for x
    x = 308,821,384,089/357,410
  6. Step 6: Final answer
    x = 864,053.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.