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Finding the Third Proportional to 1,648,122.19 and 3,562,714.13

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Solution

The third proportional to 1,648,122.19 and 3,562,714.13 is: 7,701,450.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,122.19 : 3,562,714.13 = 3,562,714.13 : x
  2. Step 2: Convert to fraction form
    1,648,122.19/3,562,714.13 = 3,562,714.13/x
  3. Step 3: Cross multiply
    1,648,122.19x = 3,562,714.13 × 3,562,714.13
  4. Step 4: Simplify right side
    1,648,122.19x = 12,692,931,936,474.52
  5. Step 5: Solve for x
    x = 12,692,931,936,474.52/1,648,122.19
  6. Step 6: Final answer
    x = 7,701,450.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.