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Finding the Third Proportional to 289,506 and 628,572

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Solution

The third proportional to 289,506 and 628,572 is: 1,364,748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,506 : 628,572 = 628,572 : x
  2. Step 2: Convert to fraction form
    289,506/628,572 = 628,572/x
  3. Step 3: Cross multiply
    289,506x = 628,572 × 628,572
  4. Step 4: Simplify right side
    289,506x = 395,102,759,184
  5. Step 5: Solve for x
    x = 395,102,759,184/289,506
  6. Step 6: Final answer
    x = 1,364,748.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.