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Finding the Third Proportional to 389,902 and 571,334

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Solution

The third proportional to 389,902 and 571,334 is: 837,191.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,902 : 571,334 = 571,334 : x
  2. Step 2: Convert to fraction form
    389,902/571,334 = 571,334/x
  3. Step 3: Cross multiply
    389,902x = 571,334 × 571,334
  4. Step 4: Simplify right side
    389,902x = 326,422,539,556
  5. Step 5: Solve for x
    x = 326,422,539,556/389,902
  6. Step 6: Final answer
    x = 837,191.24

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.