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Finding the Third Proportional to 304,428 and 657,119

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Solution

The third proportional to 304,428 and 657,119 is: 1,418,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,428 : 657,119 = 657,119 : x
  2. Step 2: Convert to fraction form
    304,428/657,119 = 657,119/x
  3. Step 3: Cross multiply
    304,428x = 657,119 × 657,119
  4. Step 4: Simplify right side
    304,428x = 431,805,380,161
  5. Step 5: Solve for x
    x = 431,805,380,161/304,428
  6. Step 6: Final answer
    x = 1,418,415.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.