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Finding the Third Proportional to 497,670 and 670,472

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Solution

The third proportional to 497,670 and 670,472 is: 903,274.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,670 : 670,472 = 670,472 : x
  2. Step 2: Convert to fraction form
    497,670/670,472 = 670,472/x
  3. Step 3: Cross multiply
    497,670x = 670,472 × 670,472
  4. Step 4: Simplify right side
    497,670x = 449,532,702,784
  5. Step 5: Solve for x
    x = 449,532,702,784/497,670
  6. Step 6: Final answer
    x = 903,274.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.