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Finding the Third Proportional to 528,356 and 802,623

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Solution

The third proportional to 528,356 and 802,623 is: 1,219,260.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,356 : 802,623 = 802,623 : x
  2. Step 2: Convert to fraction form
    528,356/802,623 = 802,623/x
  3. Step 3: Cross multiply
    528,356x = 802,623 × 802,623
  4. Step 4: Simplify right side
    528,356x = 644,203,680,129
  5. Step 5: Solve for x
    x = 644,203,680,129/528,356
  6. Step 6: Final answer
    x = 1,219,260.65

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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.