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Finding the Third Proportional to 213,428 and 459,960

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Solution

The third proportional to 213,428 and 459,960 is: 991,262.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,428 : 459,960 = 459,960 : x
  2. Step 2: Convert to fraction form
    213,428/459,960 = 459,960/x
  3. Step 3: Cross multiply
    213,428x = 459,960 × 459,960
  4. Step 4: Simplify right side
    213,428x = 211,563,201,600
  5. Step 5: Solve for x
    x = 211,563,201,600/213,428
  6. Step 6: Final answer
    x = 991,262.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.