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Finding the Third Proportional to 338,294 and 727,618

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Solution

The third proportional to 338,294 and 727,618 is: 1,564,993.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,294 : 727,618 = 727,618 : x
  2. Step 2: Convert to fraction form
    338,294/727,618 = 727,618/x
  3. Step 3: Cross multiply
    338,294x = 727,618 × 727,618
  4. Step 4: Simplify right side
    338,294x = 529,427,953,924
  5. Step 5: Solve for x
    x = 529,427,953,924/338,294
  6. Step 6: Final answer
    x = 1,564,993.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.