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Finding the Third Proportional to 210,877 and 455,429

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Solution

The third proportional to 210,877 and 455,429 is: 983,585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,877 : 455,429 = 455,429 : x
  2. Step 2: Convert to fraction form
    210,877/455,429 = 455,429/x
  3. Step 3: Cross multiply
    210,877x = 455,429 × 455,429
  4. Step 4: Simplify right side
    210,877x = 207,415,574,041
  5. Step 5: Solve for x
    x = 207,415,574,041/210,877
  6. Step 6: Final answer
    x = 983,585.57

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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.