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Finding the Third Proportional to 450,905,940 and 698,177,495.25

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Solution

The third proportional to 450,905,940 and 698,177,495.25 is: 1,081,049,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,905,940 : 698,177,495.25 = 698,177,495.25 : x
  2. Step 2: Convert to fraction form
    450,905,940/698,177,495.25 = 698,177,495.25/x
  3. Step 3: Cross multiply
    450,905,940x = 698,177,495.25 × 698,177,495.25
  4. Step 4: Simplify right side
    450,905,940x = 487,451,814,873,563,776
  5. Step 5: Solve for x
    x = 487,451,814,873,563,776/450,905,940
  6. Step 6: Final answer
    x = 1,081,049,885.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.