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Finding the Third Proportional to 328,642 and 507,454

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Solution

The third proportional to 328,642 and 507,454 is: 783,556.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,642 : 507,454 = 507,454 : x
  2. Step 2: Convert to fraction form
    328,642/507,454 = 507,454/x
  3. Step 3: Cross multiply
    328,642x = 507,454 × 507,454
  4. Step 4: Simplify right side
    328,642x = 257,509,562,116
  5. Step 5: Solve for x
    x = 257,509,562,116/328,642
  6. Step 6: Final answer
    x = 783,556.46

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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.