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Finding the Third Proportional to 128,160 and 201,332.25

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Solution

The third proportional to 128,160 and 201,332.25 is: 316,281.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,160 : 201,332.25 = 201,332.25 : x
  2. Step 2: Convert to fraction form
    128,160/201,332.25 = 201,332.25/x
  3. Step 3: Cross multiply
    128,160x = 201,332.25 × 201,332.25
  4. Step 4: Simplify right side
    128,160x = 40,534,674,890.06
  5. Step 5: Solve for x
    x = 40,534,674,890.06/128,160
  6. Step 6: Final answer
    x = 316,281.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.