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Finding the Third Proportional to 357,048 and 507,600

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Solution

The third proportional to 357,048 and 507,600 is: 721,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,048 : 507,600 = 507,600 : x
  2. Step 2: Convert to fraction form
    357,048/507,600 = 507,600/x
  3. Step 3: Cross multiply
    357,048x = 507,600 × 507,600
  4. Step 4: Simplify right side
    357,048x = 257,657,760,000
  5. Step 5: Solve for x
    x = 257,657,760,000/357,048
  6. Step 6: Final answer
    x = 721,633.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.