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Finding the Third Proportional to 778,444 and 1,657,328

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Solution

The third proportional to 778,444 and 1,657,328 is: 3,528,495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,444 : 1,657,328 = 1,657,328 : x
  2. Step 2: Convert to fraction form
    778,444/1,657,328 = 1,657,328/x
  3. Step 3: Cross multiply
    778,444x = 1,657,328 × 1,657,328
  4. Step 4: Simplify right side
    778,444x = 2,746,736,099,584
  5. Step 5: Solve for x
    x = 2,746,736,099,584/778,444
  6. Step 6: Final answer
    x = 3,528,495.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.