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Finding the Third Proportional to 630,411 and 946,264.50

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Solution

The third proportional to 630,411 and 946,264.50 is: 1,420,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,411 : 946,264.50 = 946,264.50 : x
  2. Step 2: Convert to fraction form
    630,411/946,264.50 = 946,264.50/x
  3. Step 3: Cross multiply
    630,411x = 946,264.50 × 946,264.50
  4. Step 4: Simplify right side
    630,411x = 895,416,503,960.25
  5. Step 5: Solve for x
    x = 895,416,503,960.25/630,411
  6. Step 6: Final answer
    x = 1,420,369.42

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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.