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Finding the Third Proportional to 306,437,952 and 429,993,108

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Solution

The third proportional to 306,437,952 and 429,993,108 is: 603,365,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,437,952 : 429,993,108 = 429,993,108 : x
  2. Step 2: Convert to fraction form
    306,437,952/429,993,108 = 429,993,108/x
  3. Step 3: Cross multiply
    306,437,952x = 429,993,108 × 429,993,108
  4. Step 4: Simplify right side
    306,437,952x = 184,894,072,927,499,648
  5. Step 5: Solve for x
    x = 184,894,072,927,499,648/306,437,952
  6. Step 6: Final answer
    x = 603,365,450.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.