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Finding the Third Proportional to 515,780 and 788,490

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Solution

The third proportional to 515,780 and 788,490 is: 1,205,390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,780 : 788,490 = 788,490 : x
  2. Step 2: Convert to fraction form
    515,780/788,490 = 788,490/x
  3. Step 3: Cross multiply
    515,780x = 788,490 × 788,490
  4. Step 4: Simplify right side
    515,780x = 621,716,480,100
  5. Step 5: Solve for x
    x = 621,716,480,100/515,780
  6. Step 6: Final answer
    x = 1,205,390.83

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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.