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Finding the Third Proportional to 210,145 and 314,475

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Solution

The third proportional to 210,145 and 314,475 is: 470,601.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,145 : 314,475 = 314,475 : x
  2. Step 2: Convert to fraction form
    210,145/314,475 = 314,475/x
  3. Step 3: Cross multiply
    210,145x = 314,475 × 314,475
  4. Step 4: Simplify right side
    210,145x = 98,894,525,625
  5. Step 5: Solve for x
    x = 98,894,525,625/210,145
  6. Step 6: Final answer
    x = 470,601.37

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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.