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Finding the Third Proportional to 653,388 and 985,617

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Solution

The third proportional to 653,388 and 985,617 is: 1,486,774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,388 : 985,617 = 985,617 : x
  2. Step 2: Convert to fraction form
    653,388/985,617 = 985,617/x
  3. Step 3: Cross multiply
    653,388x = 985,617 × 985,617
  4. Step 4: Simplify right side
    653,388x = 971,440,870,689
  5. Step 5: Solve for x
    x = 971,440,870,689/653,388
  6. Step 6: Final answer
    x = 1,486,774.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.