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Finding the Third Proportional to 549,888 and 819,648

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Solution

The third proportional to 549,888 and 819,648 is: 1,221,744.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,888 : 819,648 = 819,648 : x
  2. Step 2: Convert to fraction form
    549,888/819,648 = 819,648/x
  3. Step 3: Cross multiply
    549,888x = 819,648 × 819,648
  4. Step 4: Simplify right side
    549,888x = 671,822,843,904
  5. Step 5: Solve for x
    x = 671,822,843,904/549,888
  6. Step 6: Final answer
    x = 1,221,744.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.