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Finding the Third Proportional to 198,772,270 and 425,179,466

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Solution

The third proportional to 198,772,270 and 425,179,466 is: 909,470,814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,772,270 : 425,179,466 = 425,179,466 : x
  2. Step 2: Convert to fraction form
    198,772,270/425,179,466 = 425,179,466/x
  3. Step 3: Cross multiply
    198,772,270x = 425,179,466 × 425,179,466
  4. Step 4: Simplify right side
    198,772,270x = 180,777,578,308,045,152
  5. Step 5: Solve for x
    x = 180,777,578,308,045,152/198,772,270
  6. Step 6: Final answer
    x = 909,470,814.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.