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Finding the Third Proportional to 115,697 and 174,779

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Solution

The third proportional to 115,697 and 174,779 is: 264,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,697 : 174,779 = 174,779 : x
  2. Step 2: Convert to fraction form
    115,697/174,779 = 174,779/x
  3. Step 3: Cross multiply
    115,697x = 174,779 × 174,779
  4. Step 4: Simplify right side
    115,697x = 30,547,698,841
  5. Step 5: Solve for x
    x = 30,547,698,841/115,697
  6. Step 6: Final answer
    x = 264,031.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.