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Finding the Third Proportional to 1,721,358 and 3,782,430

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Solution

The third proportional to 1,721,358 and 3,782,430 is: 8,311,331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721,358 : 3,782,430 = 3,782,430 : x
  2. Step 2: Convert to fraction form
    1,721,358/3,782,430 = 3,782,430/x
  3. Step 3: Cross multiply
    1,721,358x = 3,782,430 × 3,782,430
  4. Step 4: Simplify right side
    1,721,358x = 14,306,776,704,900
  5. Step 5: Solve for x
    x = 14,306,776,704,900/1,721,358
  6. Step 6: Final answer
    x = 8,311,331.35

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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.