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Finding the Third Proportional to 344,190 and 506,155.50

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Solution

The third proportional to 344,190 and 506,155.50 is: 744,337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,190 : 506,155.50 = 506,155.50 : x
  2. Step 2: Convert to fraction form
    344,190/506,155.50 = 506,155.50/x
  3. Step 3: Cross multiply
    344,190x = 506,155.50 × 506,155.50
  4. Step 4: Simplify right side
    344,190x = 256,193,390,180.25
  5. Step 5: Solve for x
    x = 256,193,390,180.25/344,190
  6. Step 6: Final answer
    x = 744,337.11

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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.