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Finding the Third Proportional to 403,407 and 624,618

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Solution

The third proportional to 403,407 and 624,618 is: 967,131.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,407 : 624,618 = 624,618 : x
  2. Step 2: Convert to fraction form
    403,407/624,618 = 624,618/x
  3. Step 3: Cross multiply
    403,407x = 624,618 × 624,618
  4. Step 4: Simplify right side
    403,407x = 390,147,645,924
  5. Step 5: Solve for x
    x = 390,147,645,924/403,407
  6. Step 6: Final answer
    x = 967,131.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.