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Finding the Third Proportional to 1,421,415 and 3,070,413

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Solution

The third proportional to 1,421,415 and 3,070,413 is: 6,632,430.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421,415 : 3,070,413 = 3,070,413 : x
  2. Step 2: Convert to fraction form
    1,421,415/3,070,413 = 3,070,413/x
  3. Step 3: Cross multiply
    1,421,415x = 3,070,413 × 3,070,413
  4. Step 4: Simplify right side
    1,421,415x = 9,427,435,990,569
  5. Step 5: Solve for x
    x = 9,427,435,990,569/1,421,415
  6. Step 6: Final answer
    x = 6,632,430.35

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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.