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Finding the Third Proportional to 294,779 and 631,618

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Solution

The third proportional to 294,779 and 631,618 is: 1,353,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,779 : 631,618 = 631,618 : x
  2. Step 2: Convert to fraction form
    294,779/631,618 = 631,618/x
  3. Step 3: Cross multiply
    294,779x = 631,618 × 631,618
  4. Step 4: Simplify right side
    294,779x = 398,941,297,924
  5. Step 5: Solve for x
    x = 398,941,297,924/294,779
  6. Step 6: Final answer
    x = 1,353,357.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.