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Finding the Third Proportional to 328,576 and 507,372

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Solution

The third proportional to 328,576 and 507,372 is: 783,460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,576 : 507,372 = 507,372 : x
  2. Step 2: Convert to fraction form
    328,576/507,372 = 507,372/x
  3. Step 3: Cross multiply
    328,576x = 507,372 × 507,372
  4. Step 4: Simplify right side
    328,576x = 257,426,346,384
  5. Step 5: Solve for x
    x = 257,426,346,384/328,576
  6. Step 6: Final answer
    x = 783,460.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.