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Finding the Third Proportional to 433,507,880 and 660,424,960

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Solution

The third proportional to 433,507,880 and 660,424,960 is: 1,006,120,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,507,880 : 660,424,960 = 660,424,960 : x
  2. Step 2: Convert to fraction form
    433,507,880/660,424,960 = 660,424,960/x
  3. Step 3: Cross multiply
    433,507,880x = 660,424,960 × 660,424,960
  4. Step 4: Simplify right side
    433,507,880x = 436,161,127,791,001,600
  5. Step 5: Solve for x
    x = 436,161,127,791,001,600/433,507,880
  6. Step 6: Final answer
    x = 1,006,120,414.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.