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Finding the Third Proportional to 308,457 and 657,630

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Solution

The third proportional to 308,457 and 657,630 is: 1,402,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,457 : 657,630 = 657,630 : x
  2. Step 2: Convert to fraction form
    308,457/657,630 = 657,630/x
  3. Step 3: Cross multiply
    308,457x = 657,630 × 657,630
  4. Step 4: Simplify right side
    308,457x = 432,477,216,900
  5. Step 5: Solve for x
    x = 432,477,216,900/308,457
  6. Step 6: Final answer
    x = 1,402,066.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.