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Finding the Third Proportional to 211,528 and 459,920

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Solution

The third proportional to 211,528 and 459,920 is: 999,992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,528 : 459,920 = 459,920 : x
  2. Step 2: Convert to fraction form
    211,528/459,920 = 459,920/x
  3. Step 3: Cross multiply
    211,528x = 459,920 × 459,920
  4. Step 4: Simplify right side
    211,528x = 211,526,406,400
  5. Step 5: Solve for x
    x = 211,526,406,400/211,528
  6. Step 6: Final answer
    x = 999,992.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.