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Finding the Third Proportional to 387,004 and 910,630

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Solution

The third proportional to 387,004 and 910,630 is: 2,142,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,004 : 910,630 = 910,630 : x
  2. Step 2: Convert to fraction form
    387,004/910,630 = 910,630/x
  3. Step 3: Cross multiply
    387,004x = 910,630 × 910,630
  4. Step 4: Simplify right side
    387,004x = 829,246,996,900
  5. Step 5: Solve for x
    x = 829,246,996,900/387,004
  6. Step 6: Final answer
    x = 2,142,734.95

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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.