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Finding the Third Proportional to 389,906 and 571,340

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Solution

The third proportional to 389,906 and 571,340 is: 837,200.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,906 : 571,340 = 571,340 : x
  2. Step 2: Convert to fraction form
    389,906/571,340 = 571,340/x
  3. Step 3: Cross multiply
    389,906x = 571,340 × 571,340
  4. Step 4: Simplify right side
    389,906x = 326,429,395,600
  5. Step 5: Solve for x
    x = 326,429,395,600/389,906
  6. Step 6: Final answer
    x = 837,200.24

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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.