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Finding the Third Proportional to 118,802.50 and 157,035.50

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Solution

The third proportional to 118,802.50 and 157,035.50 is: 207,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,802.50 : 157,035.50 = 157,035.50 : x
  2. Step 2: Convert to fraction form
    118,802.50/157,035.50 = 157,035.50/x
  3. Step 3: Cross multiply
    118,802.50x = 157,035.50 × 157,035.50
  4. Step 4: Simplify right side
    118,802.50x = 24,660,148,260.25
  5. Step 5: Solve for x
    x = 24,660,148,260.25/118,802.50
  6. Step 6: Final answer
    x = 207,572.64

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.