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Finding the Third Proportional to 310,564 and 668,643

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Solution

The third proportional to 310,564 and 668,643 is: 1,439,585.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,564 : 668,643 = 668,643 : x
  2. Step 2: Convert to fraction form
    310,564/668,643 = 668,643/x
  3. Step 3: Cross multiply
    310,564x = 668,643 × 668,643
  4. Step 4: Simplify right side
    310,564x = 447,083,461,449
  5. Step 5: Solve for x
    x = 447,083,461,449/310,564
  6. Step 6: Final answer
    x = 1,439,585.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.