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Finding the Third Proportional to 645,416 and 1,418,220

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Solution

The third proportional to 645,416 and 1,418,220 is: 3,116,359.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,416 : 1,418,220 = 1,418,220 : x
  2. Step 2: Convert to fraction form
    645,416/1,418,220 = 1,418,220/x
  3. Step 3: Cross multiply
    645,416x = 1,418,220 × 1,418,220
  4. Step 4: Simplify right side
    645,416x = 2,011,347,968,400
  5. Step 5: Solve for x
    x = 2,011,347,968,400/645,416
  6. Step 6: Final answer
    x = 3,116,359.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.