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Finding the Third Proportional to 453,670 and 684,154

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Solution

The third proportional to 453,670 and 684,154 is: 1,031,733.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,670 : 684,154 = 684,154 : x
  2. Step 2: Convert to fraction form
    453,670/684,154 = 684,154/x
  3. Step 3: Cross multiply
    453,670x = 684,154 × 684,154
  4. Step 4: Simplify right side
    453,670x = 468,066,695,716
  5. Step 5: Solve for x
    x = 468,066,695,716/453,670
  6. Step 6: Final answer
    x = 1,031,733.85

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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.