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Finding the Third Proportional to 443,124,490 and 1,025,752,961

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Solution

The third proportional to 443,124,490 and 1,025,752,961 is: 2,374,432,379.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,124,490 : 1,025,752,961 = 1,025,752,961 : x
  2. Step 2: Convert to fraction form
    443,124,490/1,025,752,961 = 1,025,752,961/x
  3. Step 3: Cross multiply
    443,124,490x = 1,025,752,961 × 1,025,752,961
  4. Step 4: Simplify right side
    443,124,490x = 1,052,169,137,000,267,520
  5. Step 5: Solve for x
    x = 1,052,169,137,000,267,520/443,124,490
  6. Step 6: Final answer
    x = 2,374,432,379.04

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.