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Finding the Third Proportional to 281,565 and 612,701

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Solution

The third proportional to 281,565 and 612,701 is: 1,333,271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,565 : 612,701 = 612,701 : x
  2. Step 2: Convert to fraction form
    281,565/612,701 = 612,701/x
  3. Step 3: Cross multiply
    281,565x = 612,701 × 612,701
  4. Step 4: Simplify right side
    281,565x = 375,402,515,401
  5. Step 5: Solve for x
    x = 375,402,515,401/281,565
  6. Step 6: Final answer
    x = 1,333,271.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.