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Finding the Third Proportional to 299,783 and 648,490

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Solution

The third proportional to 299,783 and 648,490 is: 1,402,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,783 : 648,490 = 648,490 : x
  2. Step 2: Convert to fraction form
    299,783/648,490 = 648,490/x
  3. Step 3: Cross multiply
    299,783x = 648,490 × 648,490
  4. Step 4: Simplify right side
    299,783x = 420,539,280,100
  5. Step 5: Solve for x
    x = 420,539,280,100/299,783
  6. Step 6: Final answer
    x = 1,402,812.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.