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Finding the Third Proportional to 455,313 and 668,207.50

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Solution

The third proportional to 455,313 and 668,207.50 is: 980,646.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,313 : 668,207.50 = 668,207.50 : x
  2. Step 2: Convert to fraction form
    455,313/668,207.50 = 668,207.50/x
  3. Step 3: Cross multiply
    455,313x = 668,207.50 × 668,207.50
  4. Step 4: Simplify right side
    455,313x = 446,501,263,056.25
  5. Step 5: Solve for x
    x = 446,501,263,056.25/455,313
  6. Step 6: Final answer
    x = 980,646.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.