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Finding the Third Proportional to 1,329,390 and 2,899,383

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Solution

The third proportional to 1,329,390 and 2,899,383 is: 6,323,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329,390 : 2,899,383 = 2,899,383 : x
  2. Step 2: Convert to fraction form
    1,329,390/2,899,383 = 2,899,383/x
  3. Step 3: Cross multiply
    1,329,390x = 2,899,383 × 2,899,383
  4. Step 4: Simplify right side
    1,329,390x = 8,406,421,780,689
  5. Step 5: Solve for x
    x = 8,406,421,780,689/1,329,390
  6. Step 6: Final answer
    x = 6,323,518.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.