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Finding the Third Proportional to 515,265 and 778,538

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Solution

The third proportional to 515,265 and 778,538 is: 1,176,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,265 : 778,538 = 778,538 : x
  2. Step 2: Convert to fraction form
    515,265/778,538 = 778,538/x
  3. Step 3: Cross multiply
    515,265x = 778,538 × 778,538
  4. Step 4: Simplify right side
    515,265x = 606,121,417,444
  5. Step 5: Solve for x
    x = 606,121,417,444/515,265
  6. Step 6: Final answer
    x = 1,176,329.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.