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Finding the Third Proportional to 310,528 and 657,984

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Solution

The third proportional to 310,528 and 657,984 is: 1,394,215.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,528 : 657,984 = 657,984 : x
  2. Step 2: Convert to fraction form
    310,528/657,984 = 657,984/x
  3. Step 3: Cross multiply
    310,528x = 657,984 × 657,984
  4. Step 4: Simplify right side
    310,528x = 432,942,944,256
  5. Step 5: Solve for x
    x = 432,942,944,256/310,528
  6. Step 6: Final answer
    x = 1,394,215.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.