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Finding the Third Proportional to 289,220.63 and 626,708.81

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Solution

The third proportional to 289,220.63 and 626,708.81 is: 1,358,008.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,220.63 : 626,708.81 = 626,708.81 : x
  2. Step 2: Convert to fraction form
    289,220.63/626,708.81 = 626,708.81/x
  3. Step 3: Cross multiply
    289,220.63x = 626,708.81 × 626,708.81
  4. Step 4: Simplify right side
    289,220.63x = 392,763,935,665.16
  5. Step 5: Solve for x
    x = 392,763,935,665.16/289,220.63
  6. Step 6: Final answer
    x = 1,358,008.05

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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.