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Finding the Third Proportional to 255,423,618 and 394,625,196

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Solution

The third proportional to 255,423,618 and 394,625,196 is: 609,689,293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,423,618 : 394,625,196 = 394,625,196 : x
  2. Step 2: Convert to fraction form
    255,423,618/394,625,196 = 394,625,196/x
  3. Step 3: Cross multiply
    255,423,618x = 394,625,196 × 394,625,196
  4. Step 4: Simplify right side
    255,423,618x = 155,729,045,318,038,400
  5. Step 5: Solve for x
    x = 155,729,045,318,038,400/255,423,618
  6. Step 6: Final answer
    x = 609,689,293.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.