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Finding the Third Proportional to 210,142 and 315,430

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Solution

The third proportional to 210,142 and 315,430 is: 473,470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,142 : 315,430 = 315,430 : x
  2. Step 2: Convert to fraction form
    210,142/315,430 = 315,430/x
  3. Step 3: Cross multiply
    210,142x = 315,430 × 315,430
  4. Step 4: Simplify right side
    210,142x = 99,496,084,900
  5. Step 5: Solve for x
    x = 99,496,084,900/210,142
  6. Step 6: Final answer
    x = 473,470.72

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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.