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Finding the Third Proportional to 688,860 and 1,459,668

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Solution

The third proportional to 688,860 and 1,459,668 is: 3,092,980.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,860 : 1,459,668 = 1,459,668 : x
  2. Step 2: Convert to fraction form
    688,860/1,459,668 = 1,459,668/x
  3. Step 3: Cross multiply
    688,860x = 1,459,668 × 1,459,668
  4. Step 4: Simplify right side
    688,860x = 2,130,630,670,224
  5. Step 5: Solve for x
    x = 2,130,630,670,224/688,860
  6. Step 6: Final answer
    x = 3,092,980.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.