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Finding the Third Proportional to 258,064 and 405,528

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Solution

The third proportional to 258,064 and 405,528 is: 637,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,064 : 405,528 = 405,528 : x
  2. Step 2: Convert to fraction form
    258,064/405,528 = 405,528/x
  3. Step 3: Cross multiply
    258,064x = 405,528 × 405,528
  4. Step 4: Simplify right side
    258,064x = 164,452,958,784
  5. Step 5: Solve for x
    x = 164,452,958,784/258,064
  6. Step 6: Final answer
    x = 637,256.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.