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Finding the Third Proportional to 315,202 and 473,128

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Solution

The third proportional to 315,202 and 473,128 is: 710,179.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,202 : 473,128 = 473,128 : x
  2. Step 2: Convert to fraction form
    315,202/473,128 = 473,128/x
  3. Step 3: Cross multiply
    315,202x = 473,128 × 473,128
  4. Step 4: Simplify right side
    315,202x = 223,850,104,384
  5. Step 5: Solve for x
    x = 223,850,104,384/315,202
  6. Step 6: Final answer
    x = 710,179.84

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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.