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Finding the Third Proportional to 210,121 and 314,439

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Solution

The third proportional to 210,121 and 314,439 is: 470,547.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,121 : 314,439 = 314,439 : x
  2. Step 2: Convert to fraction form
    210,121/314,439 = 314,439/x
  3. Step 3: Cross multiply
    210,121x = 314,439 × 314,439
  4. Step 4: Simplify right side
    210,121x = 98,871,884,721
  5. Step 5: Solve for x
    x = 98,871,884,721/210,121
  6. Step 6: Final answer
    x = 470,547.37

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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.