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Finding the Third Proportional to 219,424,980 and 321,863,270.63

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Solution

The third proportional to 219,424,980 and 321,863,270.63 is: 472,124,755.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,424,980 : 321,863,270.63 = 321,863,270.63 : x
  2. Step 2: Convert to fraction form
    219,424,980/321,863,270.63 = 321,863,270.63/x
  3. Step 3: Cross multiply
    219,424,980x = 321,863,270.63 × 321,863,270.63
  4. Step 4: Simplify right side
    219,424,980x = 103,595,964,977,421,984
  5. Step 5: Solve for x
    x = 103,595,964,977,421,984/219,424,980
  6. Step 6: Final answer
    x = 472,124,755.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.