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Finding the Third Proportional to 30,706,308 and 65,664,144

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Solution

The third proportional to 30,706,308 and 65,664,144 is: 140,420,001.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706,308 : 65,664,144 = 65,664,144 : x
  2. Step 2: Convert to fraction form
    30,706,308/65,664,144 = 65,664,144/x
  3. Step 3: Cross multiply
    30,706,308x = 65,664,144 × 65,664,144
  4. Step 4: Simplify right side
    30,706,308x = 4,311,779,807,252,736
  5. Step 5: Solve for x
    x = 4,311,779,807,252,736/30,706,308
  6. Step 6: Final answer
    x = 140,420,001.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.