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Finding the Third Proportional to 578,712 and 1,269,480

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Solution

The third proportional to 578,712 and 1,269,480 is: 2,784,769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,712 : 1,269,480 = 1,269,480 : x
  2. Step 2: Convert to fraction form
    578,712/1,269,480 = 1,269,480/x
  3. Step 3: Cross multiply
    578,712x = 1,269,480 × 1,269,480
  4. Step 4: Simplify right side
    578,712x = 1,611,579,470,400
  5. Step 5: Solve for x
    x = 1,611,579,470,400/578,712
  6. Step 6: Final answer
    x = 2,784,769.40

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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.