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Finding the Third Proportional to 653,620 and 900,072

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Solution

The third proportional to 653,620 and 900,072 is: 1,239,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,620 : 900,072 = 900,072 : x
  2. Step 2: Convert to fraction form
    653,620/900,072 = 900,072/x
  3. Step 3: Cross multiply
    653,620x = 900,072 × 900,072
  4. Step 4: Simplify right side
    653,620x = 810,129,605,184
  5. Step 5: Solve for x
    x = 810,129,605,184/653,620
  6. Step 6: Final answer
    x = 1,239,450.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.