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Finding the Third Proportional to 319,580 and 699,292

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Solution

The third proportional to 319,580 and 699,292 is: 1,530,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,580 : 699,292 = 699,292 : x
  2. Step 2: Convert to fraction form
    319,580/699,292 = 699,292/x
  3. Step 3: Cross multiply
    319,580x = 699,292 × 699,292
  4. Step 4: Simplify right side
    319,580x = 489,009,301,264
  5. Step 5: Solve for x
    x = 489,009,301,264/319,580
  6. Step 6: Final answer
    x = 1,530,162.40

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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.