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Finding the Third Proportional to 357,030 and 515,889

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Solution

The third proportional to 357,030 and 515,889 is: 745,431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,030 : 515,889 = 515,889 : x
  2. Step 2: Convert to fraction form
    357,030/515,889 = 515,889/x
  3. Step 3: Cross multiply
    357,030x = 515,889 × 515,889
  4. Step 4: Simplify right side
    357,030x = 266,141,460,321
  5. Step 5: Solve for x
    x = 266,141,460,321/357,030
  6. Step 6: Final answer
    x = 745,431.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.