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Finding the Third Proportional to 355,812 and 557,046

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Solution

The third proportional to 355,812 and 557,046 is: 872,090.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,812 : 557,046 = 557,046 : x
  2. Step 2: Convert to fraction form
    355,812/557,046 = 557,046/x
  3. Step 3: Cross multiply
    355,812x = 557,046 × 557,046
  4. Step 4: Simplify right side
    355,812x = 310,300,246,116
  5. Step 5: Solve for x
    x = 310,300,246,116/355,812
  6. Step 6: Final answer
    x = 872,090.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.