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Finding the Third Proportional to 315,210 and 473,139

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Solution

The third proportional to 315,210 and 473,139 is: 710,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,210 : 473,139 = 473,139 : x
  2. Step 2: Convert to fraction form
    315,210/473,139 = 473,139/x
  3. Step 3: Cross multiply
    315,210x = 473,139 × 473,139
  4. Step 4: Simplify right side
    315,210x = 223,860,513,321
  5. Step 5: Solve for x
    x = 223,860,513,321/315,210
  6. Step 6: Final answer
    x = 710,194.83

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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.