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Finding the Third Proportional to 387,000 and 910,620

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Solution

The third proportional to 387,000 and 910,620 is: 2,142,710.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,000 : 910,620 = 910,620 : x
  2. Step 2: Convert to fraction form
    387,000/910,620 = 910,620/x
  3. Step 3: Cross multiply
    387,000x = 910,620 × 910,620
  4. Step 4: Simplify right side
    387,000x = 829,228,784,400
  5. Step 5: Solve for x
    x = 829,228,784,400/387,000
  6. Step 6: Final answer
    x = 2,142,710.04

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.