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Finding the Third Proportional to 653,435 and 1,406,989

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Solution

The third proportional to 653,435 and 1,406,989 is: 3,029,556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,435 : 1,406,989 = 1,406,989 : x
  2. Step 2: Convert to fraction form
    653,435/1,406,989 = 1,406,989/x
  3. Step 3: Cross multiply
    653,435x = 1,406,989 × 1,406,989
  4. Step 4: Simplify right side
    653,435x = 1,979,618,046,121
  5. Step 5: Solve for x
    x = 1,979,618,046,121/653,435
  6. Step 6: Final answer
    x = 3,029,556.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.