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Finding the Third Proportional to 458,935.50 and 645,140.63

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Solution

The third proportional to 458,935.50 and 645,140.63 is: 906,895.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,935.50 : 645,140.63 = 645,140.63 : x
  2. Step 2: Convert to fraction form
    458,935.50/645,140.63 = 645,140.63/x
  3. Step 3: Cross multiply
    458,935.50x = 645,140.63 × 645,140.63
  4. Step 4: Simplify right side
    458,935.50x = 416,206,426,025.39
  5. Step 5: Solve for x
    x = 416,206,426,025.39/458,935.50
  6. Step 6: Final answer
    x = 906,895.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.