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Finding the Third Proportional to 375,672 and 768,618

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Solution

The third proportional to 375,672 and 768,618 is: 1,572,578.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,672 : 768,618 = 768,618 : x
  2. Step 2: Convert to fraction form
    375,672/768,618 = 768,618/x
  3. Step 3: Cross multiply
    375,672x = 768,618 × 768,618
  4. Step 4: Simplify right side
    375,672x = 590,773,629,924
  5. Step 5: Solve for x
    x = 590,773,629,924/375,672
  6. Step 6: Final answer
    x = 1,572,578.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.