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Finding the Third Proportional to 357,617 and 528,042

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Solution

The third proportional to 357,617 and 528,042 is: 779,684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,617 : 528,042 = 528,042 : x
  2. Step 2: Convert to fraction form
    357,617/528,042 = 528,042/x
  3. Step 3: Cross multiply
    357,617x = 528,042 × 528,042
  4. Step 4: Simplify right side
    357,617x = 278,828,353,764
  5. Step 5: Solve for x
    x = 278,828,353,764/357,617
  6. Step 6: Final answer
    x = 779,684.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.