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Finding the Third Proportional to 211,464 and 457,776

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Solution

The third proportional to 211,464 and 457,776 is: 990,990.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,464 : 457,776 = 457,776 : x
  2. Step 2: Convert to fraction form
    211,464/457,776 = 457,776/x
  3. Step 3: Cross multiply
    211,464x = 457,776 × 457,776
  4. Step 4: Simplify right side
    211,464x = 209,558,866,176
  5. Step 5: Solve for x
    x = 209,558,866,176/211,464
  6. Step 6: Final answer
    x = 990,990.74

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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.