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Finding the Third Proportional to 328,788 and 507,033

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Solution

The third proportional to 328,788 and 507,033 is: 781,909.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,788 : 507,033 = 507,033 : x
  2. Step 2: Convert to fraction form
    328,788/507,033 = 507,033/x
  3. Step 3: Cross multiply
    328,788x = 507,033 × 507,033
  4. Step 4: Simplify right side
    328,788x = 257,082,463,089
  5. Step 5: Solve for x
    x = 257,082,463,089/328,788
  6. Step 6: Final answer
    x = 781,909.51

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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.