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Finding the Third Proportional to 306,115 and 714,829

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Solution

The third proportional to 306,115 and 714,829 is: 1,669,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,115 : 714,829 = 714,829 : x
  2. Step 2: Convert to fraction form
    306,115/714,829 = 714,829/x
  3. Step 3: Cross multiply
    306,115x = 714,829 × 714,829
  4. Step 4: Simplify right side
    306,115x = 510,980,499,241
  5. Step 5: Solve for x
    x = 510,980,499,241/306,115
  6. Step 6: Final answer
    x = 1,669,243.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.