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Finding the Third Proportional to 145,561 and 308,618

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Solution

The third proportional to 145,561 and 308,618 is: 654,330.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,561 : 308,618 = 308,618 : x
  2. Step 2: Convert to fraction form
    145,561/308,618 = 308,618/x
  3. Step 3: Cross multiply
    145,561x = 308,618 × 308,618
  4. Step 4: Simplify right side
    145,561x = 95,245,069,924
  5. Step 5: Solve for x
    x = 95,245,069,924/145,561
  6. Step 6: Final answer
    x = 654,330.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.