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Finding the Third Proportional to 212,624 and 455,776

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Solution

The third proportional to 212,624 and 455,776 is: 976,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,624 : 455,776 = 455,776 : x
  2. Step 2: Convert to fraction form
    212,624/455,776 = 455,776/x
  3. Step 3: Cross multiply
    212,624x = 455,776 × 455,776
  4. Step 4: Simplify right side
    212,624x = 207,731,762,176
  5. Step 5: Solve for x
    x = 207,731,762,176/212,624
  6. Step 6: Final answer
    x = 976,991.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.