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Finding the Third Proportional to 305,547 and 657,906

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Solution

The third proportional to 305,547 and 657,906 is: 1,416,607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,547 : 657,906 = 657,906 : x
  2. Step 2: Convert to fraction form
    305,547/657,906 = 657,906/x
  3. Step 3: Cross multiply
    305,547x = 657,906 × 657,906
  4. Step 4: Simplify right side
    305,547x = 432,840,304,836
  5. Step 5: Solve for x
    x = 432,840,304,836/305,547
  6. Step 6: Final answer
    x = 1,416,607.94

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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.