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Finding the Third Proportional to 355,579 and 503,128

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Solution

The third proportional to 355,579 and 503,128 is: 711,903.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,579 : 503,128 = 503,128 : x
  2. Step 2: Convert to fraction form
    355,579/503,128 = 503,128/x
  3. Step 3: Cross multiply
    355,579x = 503,128 × 503,128
  4. Step 4: Simplify right side
    355,579x = 253,137,784,384
  5. Step 5: Solve for x
    x = 253,137,784,384/355,579
  6. Step 6: Final answer
    x = 711,903.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.