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Finding the Third Proportional to 387,818 and 568,959

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Solution

The third proportional to 387,818 and 568,959 is: 834,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,818 : 568,959 = 568,959 : x
  2. Step 2: Convert to fraction form
    387,818/568,959 = 568,959/x
  3. Step 3: Cross multiply
    387,818x = 568,959 × 568,959
  4. Step 4: Simplify right side
    387,818x = 323,714,343,681
  5. Step 5: Solve for x
    x = 323,714,343,681/387,818
  6. Step 6: Final answer
    x = 834,706.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.