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Finding the Third Proportional to 528,291 and 802,539

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Solution

The third proportional to 528,291 and 802,539 is: 1,219,155.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,291 : 802,539 = 802,539 : x
  2. Step 2: Convert to fraction form
    528,291/802,539 = 802,539/x
  3. Step 3: Cross multiply
    528,291x = 802,539 × 802,539
  4. Step 4: Simplify right side
    528,291x = 644,068,846,521
  5. Step 5: Solve for x
    x = 644,068,846,521/528,291
  6. Step 6: Final answer
    x = 1,219,155.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.