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Finding the Third Proportional to 528,354 and 802,620

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Solution

The third proportional to 528,354 and 802,620 is: 1,219,256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,354 : 802,620 = 802,620 : x
  2. Step 2: Convert to fraction form
    528,354/802,620 = 802,620/x
  3. Step 3: Cross multiply
    528,354x = 802,620 × 802,620
  4. Step 4: Simplify right side
    528,354x = 644,198,864,400
  5. Step 5: Solve for x
    x = 644,198,864,400/528,354
  6. Step 6: Final answer
    x = 1,219,256.15

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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.