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Finding the Third Proportional to 315,209 and 473,133

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Solution

The third proportional to 315,209 and 473,133 is: 710,179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,209 : 473,133 = 473,133 : x
  2. Step 2: Convert to fraction form
    315,209/473,133 = 473,133/x
  3. Step 3: Cross multiply
    315,209x = 473,133 × 473,133
  4. Step 4: Simplify right side
    315,209x = 223,854,835,689
  5. Step 5: Solve for x
    x = 223,854,835,689/315,209
  6. Step 6: Final answer
    x = 710,179.07

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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.