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Finding the Third Proportional to 212,465 and 456,507

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Solution

The third proportional to 212,465 and 456,507 is: 980,861.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,465 : 456,507 = 456,507 : x
  2. Step 2: Convert to fraction form
    212,465/456,507 = 456,507/x
  3. Step 3: Cross multiply
    212,465x = 456,507 × 456,507
  4. Step 4: Simplify right side
    212,465x = 208,398,641,049
  5. Step 5: Solve for x
    x = 208,398,641,049/212,465
  6. Step 6: Final answer
    x = 980,861.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.