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Finding the Third Proportional to 327,308 and 507,988

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Solution

The third proportional to 327,308 and 507,988 is: 788,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,308 : 507,988 = 507,988 : x
  2. Step 2: Convert to fraction form
    327,308/507,988 = 507,988/x
  3. Step 3: Cross multiply
    327,308x = 507,988 × 507,988
  4. Step 4: Simplify right side
    327,308x = 258,051,808,144
  5. Step 5: Solve for x
    x = 258,051,808,144/327,308
  6. Step 6: Final answer
    x = 788,406.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.