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Finding the Third Proportional to 2,408,802.25 and 3,546,666.50

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Solution

The third proportional to 2,408,802.25 and 3,546,666.50 is: 5,222,032.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408,802.25 : 3,546,666.50 = 3,546,666.50 : x
  2. Step 2: Convert to fraction form
    2,408,802.25/3,546,666.50 = 3,546,666.50/x
  3. Step 3: Cross multiply
    2,408,802.25x = 3,546,666.50 × 3,546,666.50
  4. Step 4: Simplify right side
    2,408,802.25x = 12,578,843,262,222.25
  5. Step 5: Solve for x
    x = 12,578,843,262,222.25/2,408,802.25
  6. Step 6: Final answer
    x = 5,222,032.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.