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Finding the Third Proportional to 420,804 and 651,888

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Solution

The third proportional to 420,804 and 651,888 is: 1,009,871.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,804 : 651,888 = 651,888 : x
  2. Step 2: Convert to fraction form
    420,804/651,888 = 651,888/x
  3. Step 3: Cross multiply
    420,804x = 651,888 × 651,888
  4. Step 4: Simplify right side
    420,804x = 424,957,964,544
  5. Step 5: Solve for x
    x = 424,957,964,544/420,804
  6. Step 6: Final answer
    x = 1,009,871.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.