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Finding the Third Proportional to 155,535 and 230,020.50

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Solution

The third proportional to 155,535 and 230,020.50 is: 340,177.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,535 : 230,020.50 = 230,020.50 : x
  2. Step 2: Convert to fraction form
    155,535/230,020.50 = 230,020.50/x
  3. Step 3: Cross multiply
    155,535x = 230,020.50 × 230,020.50
  4. Step 4: Simplify right side
    155,535x = 52,909,430,420.25
  5. Step 5: Solve for x
    x = 52,909,430,420.25/155,535
  6. Step 6: Final answer
    x = 340,177.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.