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Finding the Third Proportional to 305,410 and 657,646

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Solution

The third proportional to 305,410 and 657,646 is: 1,416,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,410 : 657,646 = 657,646 : x
  2. Step 2: Convert to fraction form
    305,410/657,646 = 657,646/x
  3. Step 3: Cross multiply
    305,410x = 657,646 × 657,646
  4. Step 4: Simplify right side
    305,410x = 432,498,261,316
  5. Step 5: Solve for x
    x = 432,498,261,316/305,410
  6. Step 6: Final answer
    x = 1,416,123.44

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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.