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Finding the Third Proportional to 306,572 and 457,970

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Solution

The third proportional to 306,572 and 457,970 is: 684,134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,572 : 457,970 = 457,970 : x
  2. Step 2: Convert to fraction form
    306,572/457,970 = 457,970/x
  3. Step 3: Cross multiply
    306,572x = 457,970 × 457,970
  4. Step 4: Simplify right side
    306,572x = 209,736,520,900
  5. Step 5: Solve for x
    x = 209,736,520,900/306,572
  6. Step 6: Final answer
    x = 684,134.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.