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Finding the Third Proportional to 402,528 and 874,948

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Solution

The third proportional to 402,528 and 874,948 is: 1,901,815.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,528 : 874,948 = 874,948 : x
  2. Step 2: Convert to fraction form
    402,528/874,948 = 874,948/x
  3. Step 3: Cross multiply
    402,528x = 874,948 × 874,948
  4. Step 4: Simplify right side
    402,528x = 765,534,002,704
  5. Step 5: Solve for x
    x = 765,534,002,704/402,528
  6. Step 6: Final answer
    x = 1,901,815.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.