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Finding the Third Proportional to 30,280,938 and 66,424,342.50

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Solution

The third proportional to 30,280,938 and 66,424,342.50 is: 145,708,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,280,938 : 66,424,342.50 = 66,424,342.50 : x
  2. Step 2: Convert to fraction form
    30,280,938/66,424,342.50 = 66,424,342.50/x
  3. Step 3: Cross multiply
    30,280,938x = 66,424,342.50 × 66,424,342.50
  4. Step 4: Simplify right side
    30,280,938x = 4,412,193,276,557,306
  5. Step 5: Solve for x
    x = 4,412,193,276,557,306/30,280,938
  6. Step 6: Final answer
    x = 145,708,606.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.