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Finding the Third Proportional to 210,143 and 314,472

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Solution

The third proportional to 210,143 and 314,472 is: 470,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,143 : 314,472 = 314,472 : x
  2. Step 2: Convert to fraction form
    210,143/314,472 = 314,472/x
  3. Step 3: Cross multiply
    210,143x = 314,472 × 314,472
  4. Step 4: Simplify right side
    210,143x = 98,892,638,784
  5. Step 5: Solve for x
    x = 98,892,638,784/210,143
  6. Step 6: Final answer
    x = 470,596.87

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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.