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Finding the Third Proportional to 515,716 and 788,397

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Solution

The third proportional to 515,716 and 788,397 is: 1,205,256.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,716 : 788,397 = 788,397 : x
  2. Step 2: Convert to fraction form
    515,716/788,397 = 788,397/x
  3. Step 3: Cross multiply
    515,716x = 788,397 × 788,397
  4. Step 4: Simplify right side
    515,716x = 621,569,829,609
  5. Step 5: Solve for x
    x = 621,569,829,609/515,716
  6. Step 6: Final answer
    x = 1,205,256.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.