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Finding the Third Proportional to 389,091 and 714,246

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Solution

The third proportional to 389,091 and 714,246 is: 1,311,126.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,091 : 714,246 = 714,246 : x
  2. Step 2: Convert to fraction form
    389,091/714,246 = 714,246/x
  3. Step 3: Cross multiply
    389,091x = 714,246 × 714,246
  4. Step 4: Simplify right side
    389,091x = 510,147,348,516
  5. Step 5: Solve for x
    x = 510,147,348,516/389,091
  6. Step 6: Final answer
    x = 1,311,126.06

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.