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Finding the Third Proportional to 289,141 and 626,550

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Solution

The third proportional to 289,141 and 626,550 is: 1,357,693.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,141 : 626,550 = 626,550 : x
  2. Step 2: Convert to fraction form
    289,141/626,550 = 626,550/x
  3. Step 3: Cross multiply
    289,141x = 626,550 × 626,550
  4. Step 4: Simplify right side
    289,141x = 392,564,902,500
  5. Step 5: Solve for x
    x = 392,564,902,500/289,141
  6. Step 6: Final answer
    x = 1,357,693.66

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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.