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Finding the Third Proportional to 304,430 and 657,123

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Solution

The third proportional to 304,430 and 657,123 is: 1,418,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,430 : 657,123 = 657,123 : x
  2. Step 2: Convert to fraction form
    304,430/657,123 = 657,123/x
  3. Step 3: Cross multiply
    304,430x = 657,123 × 657,123
  4. Step 4: Simplify right side
    304,430x = 431,810,637,129
  5. Step 5: Solve for x
    x = 431,810,637,129/304,430
  6. Step 6: Final answer
    x = 1,418,423.40

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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.