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Finding the Third Proportional to 302,720 and 657,840

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Solution

The third proportional to 302,720 and 657,840 is: 1,429,550.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,720 : 657,840 = 657,840 : x
  2. Step 2: Convert to fraction form
    302,720/657,840 = 657,840/x
  3. Step 3: Cross multiply
    302,720x = 657,840 × 657,840
  4. Step 4: Simplify right side
    302,720x = 432,753,465,600
  5. Step 5: Solve for x
    x = 432,753,465,600/302,720
  6. Step 6: Final answer
    x = 1,429,550.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.