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Finding the Third Proportional to 450,036 and 657,276

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Solution

The third proportional to 450,036 and 657,276 is: 959,949.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,036 : 657,276 = 657,276 : x
  2. Step 2: Convert to fraction form
    450,036/657,276 = 657,276/x
  3. Step 3: Cross multiply
    450,036x = 657,276 × 657,276
  4. Step 4: Simplify right side
    450,036x = 432,011,740,176
  5. Step 5: Solve for x
    x = 432,011,740,176/450,036
  6. Step 6: Final answer
    x = 959,949.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.