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Finding the Third Proportional to 1,690,368 and 3,712,512

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Solution

The third proportional to 1,690,368 and 3,712,512 is: 8,153,695.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690,368 : 3,712,512 = 3,712,512 : x
  2. Step 2: Convert to fraction form
    1,690,368/3,712,512 = 3,712,512/x
  3. Step 3: Cross multiply
    1,690,368x = 3,712,512 × 3,712,512
  4. Step 4: Simplify right side
    1,690,368x = 13,782,745,350,144
  5. Step 5: Solve for x
    x = 13,782,745,350,144/1,690,368
  6. Step 6: Final answer
    x = 8,153,695.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.