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Finding the Third Proportional to 310,424,390 and 486,964,946

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Solution

The third proportional to 310,424,390 and 486,964,946 is: 763,905,370.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,424,390 : 486,964,946 = 486,964,946 : x
  2. Step 2: Convert to fraction form
    310,424,390/486,964,946 = 486,964,946/x
  3. Step 3: Cross multiply
    310,424,390x = 486,964,946 × 486,964,946
  4. Step 4: Simplify right side
    310,424,390x = 237,134,858,632,782,912
  5. Step 5: Solve for x
    x = 237,134,858,632,782,912/310,424,390
  6. Step 6: Final answer
    x = 763,905,370.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.