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Finding the Third Proportional to 289,140 and 626,544.75

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Solution

The third proportional to 289,140 and 626,544.75 is: 1,357,675.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,140 : 626,544.75 = 626,544.75 : x
  2. Step 2: Convert to fraction form
    289,140/626,544.75 = 626,544.75/x
  3. Step 3: Cross multiply
    289,140x = 626,544.75 × 626,544.75
  4. Step 4: Simplify right side
    289,140x = 392,558,323,752.56
  5. Step 5: Solve for x
    x = 392,558,323,752.56/289,140
  6. Step 6: Final answer
    x = 1,357,675.60

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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.