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Finding the Third Proportional to 311,913 and 495,864.50

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Solution

The third proportional to 311,913 and 495,864.50 is: 788,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,913 : 495,864.50 = 495,864.50 : x
  2. Step 2: Convert to fraction form
    311,913/495,864.50 = 495,864.50/x
  3. Step 3: Cross multiply
    311,913x = 495,864.50 × 495,864.50
  4. Step 4: Simplify right side
    311,913x = 245,881,602,360.25
  5. Step 5: Solve for x
    x = 245,881,602,360.25/311,913
  6. Step 6: Final answer
    x = 788,301.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.