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Finding the Third Proportional to 315,213 and 473,145

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Solution

The third proportional to 315,213 and 473,145 is: 710,206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,213 : 473,145 = 473,145 : x
  2. Step 2: Convert to fraction form
    315,213/473,145 = 473,145/x
  3. Step 3: Cross multiply
    315,213x = 473,145 × 473,145
  4. Step 4: Simplify right side
    315,213x = 223,866,191,025
  5. Step 5: Solve for x
    x = 223,866,191,025/315,213
  6. Step 6: Final answer
    x = 710,206.09

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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.