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Finding the Third Proportional to 289,386 and 626,886

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Solution

The third proportional to 289,386 and 626,886 is: 1,357,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,386 : 626,886 = 626,886 : x
  2. Step 2: Convert to fraction form
    289,386/626,886 = 626,886/x
  3. Step 3: Cross multiply
    289,386x = 626,886 × 626,886
  4. Step 4: Simplify right side
    289,386x = 392,986,056,996
  5. Step 5: Solve for x
    x = 392,986,056,996/289,386
  6. Step 6: Final answer
    x = 1,357,999.55

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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.