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Finding the Third Proportional to 300,117.38 and 457,798.50

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Solution

The third proportional to 300,117.38 and 457,798.50 is: 698,325.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,117.38 : 457,798.50 = 457,798.50 : x
  2. Step 2: Convert to fraction form
    300,117.38/457,798.50 = 457,798.50/x
  3. Step 3: Cross multiply
    300,117.38x = 457,798.50 × 457,798.50
  4. Step 4: Simplify right side
    300,117.38x = 209,579,466,602.25
  5. Step 5: Solve for x
    x = 209,579,466,602.25/300,117.38
  6. Step 6: Final answer
    x = 698,325.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.