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Finding the Third Proportional to 281,972,994 and 431,065,881

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Solution

The third proportional to 281,972,994 and 431,065,881 is: 658,991,455.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,972,994 : 431,065,881 = 431,065,881 : x
  2. Step 2: Convert to fraction form
    281,972,994/431,065,881 = 431,065,881/x
  3. Step 3: Cross multiply
    281,972,994x = 431,065,881 × 431,065,881
  4. Step 4: Simplify right side
    281,972,994x = 185,817,793,762,306,176
  5. Step 5: Solve for x
    x = 185,817,793,762,306,176/281,972,994
  6. Step 6: Final answer
    x = 658,991,455.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.