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Finding the Third Proportional to 319,582 and 699,294

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Solution

The third proportional to 319,582 and 699,294 is: 1,530,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,582 : 699,294 = 699,294 : x
  2. Step 2: Convert to fraction form
    319,582/699,294 = 699,294/x
  3. Step 3: Cross multiply
    319,582x = 699,294 × 699,294
  4. Step 4: Simplify right side
    319,582x = 489,012,098,436
  5. Step 5: Solve for x
    x = 489,012,098,436/319,582
  6. Step 6: Final answer
    x = 1,530,161.58

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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.