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Finding the Third Proportional to 315,970 and 484,514

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Solution

The third proportional to 315,970 and 484,514 is: 742,962.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,970 : 484,514 = 484,514 : x
  2. Step 2: Convert to fraction form
    315,970/484,514 = 484,514/x
  3. Step 3: Cross multiply
    315,970x = 484,514 × 484,514
  4. Step 4: Simplify right side
    315,970x = 234,753,816,196
  5. Step 5: Solve for x
    x = 234,753,816,196/315,970
  6. Step 6: Final answer
    x = 742,962.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.