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Finding the Third Proportional to 778,440 and 1,657,320

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Solution

The third proportional to 778,440 and 1,657,320 is: 3,528,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,440 : 1,657,320 = 1,657,320 : x
  2. Step 2: Convert to fraction form
    778,440/1,657,320 = 1,657,320/x
  3. Step 3: Cross multiply
    778,440x = 1,657,320 × 1,657,320
  4. Step 4: Simplify right side
    778,440x = 2,746,709,582,400
  5. Step 5: Solve for x
    x = 2,746,709,582,400/778,440
  6. Step 6: Final answer
    x = 3,528,479.50

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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.