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Finding the Third Proportional to 207,313 and 312,430.50

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Solution

The third proportional to 207,313 and 312,430.50 is: 470,847.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,313 : 312,430.50 = 312,430.50 : x
  2. Step 2: Convert to fraction form
    207,313/312,430.50 = 312,430.50/x
  3. Step 3: Cross multiply
    207,313x = 312,430.50 × 312,430.50
  4. Step 4: Simplify right side
    207,313x = 97,612,817,330.25
  5. Step 5: Solve for x
    x = 97,612,817,330.25/207,313
  6. Step 6: Final answer
    x = 470,847.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.