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Finding the Third Proportional to 427,848 and 657,688

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Solution

The third proportional to 427,848 and 657,688 is: 1,010,998.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,848 : 657,688 = 657,688 : x
  2. Step 2: Convert to fraction form
    427,848/657,688 = 657,688/x
  3. Step 3: Cross multiply
    427,848x = 657,688 × 657,688
  4. Step 4: Simplify right side
    427,848x = 432,553,505,344
  5. Step 5: Solve for x
    x = 432,553,505,344/427,848
  6. Step 6: Final answer
    x = 1,010,998.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.