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Finding the Third Proportional to 153,130.50 and 229,864.50

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Solution

The third proportional to 153,130.50 and 229,864.50 is: 345,050.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,130.50 : 229,864.50 = 229,864.50 : x
  2. Step 2: Convert to fraction form
    153,130.50/229,864.50 = 229,864.50/x
  3. Step 3: Cross multiply
    153,130.50x = 229,864.50 × 229,864.50
  4. Step 4: Simplify right side
    153,130.50x = 52,837,688,360.25
  5. Step 5: Solve for x
    x = 52,837,688,360.25/153,130.50
  6. Step 6: Final answer
    x = 345,050.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.