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Finding the Third Proportional to 328,646 and 507,460

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Solution

The third proportional to 328,646 and 507,460 is: 783,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,646 : 507,460 = 507,460 : x
  2. Step 2: Convert to fraction form
    328,646/507,460 = 507,460/x
  3. Step 3: Cross multiply
    328,646x = 507,460 × 507,460
  4. Step 4: Simplify right side
    328,646x = 257,515,651,600
  5. Step 5: Solve for x
    x = 257,515,651,600/328,646
  6. Step 6: Final answer
    x = 783,565.45

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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.