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Finding the Third Proportional to 347,855.50 and 507,021

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Solution

The third proportional to 347,855.50 and 507,021 is: 739,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,855.50 : 507,021 = 507,021 : x
  2. Step 2: Convert to fraction form
    347,855.50/507,021 = 507,021/x
  3. Step 3: Cross multiply
    347,855.50x = 507,021 × 507,021
  4. Step 4: Simplify right side
    347,855.50x = 257,070,294,441
  5. Step 5: Solve for x
    x = 257,070,294,441/347,855.50
  6. Step 6: Final answer
    x = 739,014.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.