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Finding the Third Proportional to 12,985 and 14,897

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Solution

The third proportional to 12,985 and 14,897 is: 17,090.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985 : 14,897 = 14,897 : x
  2. Step 2: Convert to fraction form
    12,985/14,897 = 14,897/x
  3. Step 3: Cross multiply
    12,985x = 14,897 × 14,897
  4. Step 4: Simplify right side
    12,985x = 221,920,609
  5. Step 5: Solve for x
    x = 221,920,609/12,985
  6. Step 6: Final answer
    x = 17,090.54

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.