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Finding the Third Proportional to 289,145 and 626,557

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Solution

The third proportional to 289,145 and 626,557 is: 1,357,705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,145 : 626,557 = 626,557 : x
  2. Step 2: Convert to fraction form
    289,145/626,557 = 626,557/x
  3. Step 3: Cross multiply
    289,145x = 626,557 × 626,557
  4. Step 4: Simplify right side
    289,145x = 392,573,674,249
  5. Step 5: Solve for x
    x = 392,573,674,249/289,145
  6. Step 6: Final answer
    x = 1,357,705.21

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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.