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Finding the Third Proportional to 304,730 and 656,288

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Solution

The third proportional to 304,730 and 656,288 is: 1,413,428.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,730 : 656,288 = 656,288 : x
  2. Step 2: Convert to fraction form
    304,730/656,288 = 656,288/x
  3. Step 3: Cross multiply
    304,730x = 656,288 × 656,288
  4. Step 4: Simplify right side
    304,730x = 430,713,938,944
  5. Step 5: Solve for x
    x = 430,713,938,944/304,730
  6. Step 6: Final answer
    x = 1,413,428.08

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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.