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Finding the Third Proportional to 456,860 and 669,706

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Solution

The third proportional to 456,860 and 669,706 is: 981,714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,860 : 669,706 = 669,706 : x
  2. Step 2: Convert to fraction form
    456,860/669,706 = 669,706/x
  3. Step 3: Cross multiply
    456,860x = 669,706 × 669,706
  4. Step 4: Simplify right side
    456,860x = 448,506,126,436
  5. Step 5: Solve for x
    x = 448,506,126,436/456,860
  6. Step 6: Final answer
    x = 981,714.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.