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Finding the Third Proportional to 210,115 and 314,430

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Solution

The third proportional to 210,115 and 314,430 is: 470,533.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,115 : 314,430 = 314,430 : x
  2. Step 2: Convert to fraction form
    210,115/314,430 = 314,430/x
  3. Step 3: Cross multiply
    210,115x = 314,430 × 314,430
  4. Step 4: Simplify right side
    210,115x = 98,866,224,900
  5. Step 5: Solve for x
    x = 98,866,224,900/210,115
  6. Step 6: Final answer
    x = 470,533.87

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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.