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Finding the Third Proportional to 408,918,164 and 634,379,046

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Solution

The third proportional to 408,918,164 and 634,379,046 is: 984,149,909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,918,164 : 634,379,046 = 634,379,046 : x
  2. Step 2: Convert to fraction form
    408,918,164/634,379,046 = 634,379,046/x
  3. Step 3: Cross multiply
    408,918,164x = 634,379,046 × 634,379,046
  4. Step 4: Simplify right side
    408,918,164x = 402,436,774,003,870,144
  5. Step 5: Solve for x
    x = 402,436,774,003,870,144/408,918,164
  6. Step 6: Final answer
    x = 984,149,909.28

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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.