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Finding the Third Proportional to 435,064 and 612,678

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Solution

The third proportional to 435,064 and 612,678 is: 862,802.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,064 : 612,678 = 612,678 : x
  2. Step 2: Convert to fraction form
    435,064/612,678 = 612,678/x
  3. Step 3: Cross multiply
    435,064x = 612,678 × 612,678
  4. Step 4: Simplify right side
    435,064x = 375,374,331,684
  5. Step 5: Solve for x
    x = 375,374,331,684/435,064
  6. Step 6: Final answer
    x = 862,802.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.