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Finding the Third Proportional to 310,211,507 and 672,122,830

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Solution

The third proportional to 310,211,507 and 672,122,830 is: 1,456,261,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,211,507 : 672,122,830 = 672,122,830 : x
  2. Step 2: Convert to fraction form
    310,211,507/672,122,830 = 672,122,830/x
  3. Step 3: Cross multiply
    310,211,507x = 672,122,830 × 672,122,830
  4. Step 4: Simplify right side
    310,211,507x = 451,749,098,607,208,896
  5. Step 5: Solve for x
    x = 451,749,098,607,208,896/310,211,507
  6. Step 6: Final answer
    x = 1,456,261,577.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.