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Finding the Third Proportional to 230,420 and 357,618

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Solution

The third proportional to 230,420 and 357,618 is: 555,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,420 : 357,618 = 357,618 : x
  2. Step 2: Convert to fraction form
    230,420/357,618 = 357,618/x
  3. Step 3: Cross multiply
    230,420x = 357,618 × 357,618
  4. Step 4: Simplify right side
    230,420x = 127,890,633,924
  5. Step 5: Solve for x
    x = 127,890,633,924/230,420
  6. Step 6: Final answer
    x = 555,032.70

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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.