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Finding the Third Proportional to 316,973 and 648,521

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Solution

The third proportional to 316,973 and 648,521 is: 1,326,862.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,973 : 648,521 = 648,521 : x
  2. Step 2: Convert to fraction form
    316,973/648,521 = 648,521/x
  3. Step 3: Cross multiply
    316,973x = 648,521 × 648,521
  4. Step 4: Simplify right side
    316,973x = 420,579,487,441
  5. Step 5: Solve for x
    x = 420,579,487,441/316,973
  6. Step 6: Final answer
    x = 1,326,862.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.