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Finding the Third Proportional to 431,144,086.50 and 645,998,868

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Solution

The third proportional to 431,144,086.50 and 645,998,868 is: 967,923,602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,144,086.50 : 645,998,868 = 645,998,868 : x
  2. Step 2: Convert to fraction form
    431,144,086.50/645,998,868 = 645,998,868/x
  3. Step 3: Cross multiply
    431,144,086.50x = 645,998,868 × 645,998,868
  4. Step 4: Simplify right side
    431,144,086.50x = 417,314,537,457,281,408
  5. Step 5: Solve for x
    x = 417,314,537,457,281,408/431,144,086.50
  6. Step 6: Final answer
    x = 967,923,602.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.