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Finding the Third Proportional to 315,556 and 692,312

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Solution

The third proportional to 315,556 and 692,312 is: 1,518,893.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,556 : 692,312 = 692,312 : x
  2. Step 2: Convert to fraction form
    315,556/692,312 = 692,312/x
  3. Step 3: Cross multiply
    315,556x = 692,312 × 692,312
  4. Step 4: Simplify right side
    315,556x = 479,295,905,344
  5. Step 5: Solve for x
    x = 479,295,905,344/315,556
  6. Step 6: Final answer
    x = 1,518,893.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.