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Finding the Third Proportional to 908,139,717 and 1,421,486,689.50

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Solution

The third proportional to 908,139,717 and 1,421,486,689.50 is: 2,225,014,907.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,139,717 : 1,421,486,689.50 = 1,421,486,689.50 : x
  2. Step 2: Convert to fraction form
    908,139,717/1,421,486,689.50 = 1,421,486,689.50/x
  3. Step 3: Cross multiply
    908,139,717x = 1,421,486,689.50 × 1,421,486,689.50
  4. Step 4: Simplify right side
    908,139,717x = 2,020,624,408,425,669,376
  5. Step 5: Solve for x
    x = 2,020,624,408,425,669,376/908,139,717
  6. Step 6: Final answer
    x = 2,225,014,907.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.