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Finding the Third Proportional to 30,602,915.25 and 64,659,933.75

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Solution

The third proportional to 30,602,915.25 and 64,659,933.75 is: 136,617,933.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602,915.25 : 64,659,933.75 = 64,659,933.75 : x
  2. Step 2: Convert to fraction form
    30,602,915.25/64,659,933.75 = 64,659,933.75/x
  3. Step 3: Cross multiply
    30,602,915.25x = 64,659,933.75 × 64,659,933.75
  4. Step 4: Simplify right side
    30,602,915.25x = 4,180,907,032,554,389
  5. Step 5: Solve for x
    x = 4,180,907,032,554,389/30,602,915.25
  6. Step 6: Final answer
    x = 136,617,933.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.