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Finding the Third Proportional to 354,681 and 778,284

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Solution

The third proportional to 354,681 and 778,284 is: 1,707,805.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,681 : 778,284 = 778,284 : x
  2. Step 2: Convert to fraction form
    354,681/778,284 = 778,284/x
  3. Step 3: Cross multiply
    354,681x = 778,284 × 778,284
  4. Step 4: Simplify right side
    354,681x = 605,725,984,656
  5. Step 5: Solve for x
    x = 605,725,984,656/354,681
  6. Step 6: Final answer
    x = 1,707,805.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.