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Finding the Third Proportional to 332,912 and 507,666

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Solution

The third proportional to 332,912 and 507,666 is: 774,152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,912 : 507,666 = 507,666 : x
  2. Step 2: Convert to fraction form
    332,912/507,666 = 507,666/x
  3. Step 3: Cross multiply
    332,912x = 507,666 × 507,666
  4. Step 4: Simplify right side
    332,912x = 257,724,767,556
  5. Step 5: Solve for x
    x = 257,724,767,556/332,912
  6. Step 6: Final answer
    x = 774,152.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.