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Finding the Third Proportional to 315,203 and 473,129

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Solution

The third proportional to 315,203 and 473,129 is: 710,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,203 : 473,129 = 473,129 : x
  2. Step 2: Convert to fraction form
    315,203/473,129 = 473,129/x
  3. Step 3: Cross multiply
    315,203x = 473,129 × 473,129
  4. Step 4: Simplify right side
    315,203x = 223,851,050,641
  5. Step 5: Solve for x
    x = 223,851,050,641/315,203
  6. Step 6: Final answer
    x = 710,180.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.