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Finding the Third Proportional to 130,911 and 282,709.50

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Solution

The third proportional to 130,911 and 282,709.50 is: 610,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,911 : 282,709.50 = 282,709.50 : x
  2. Step 2: Convert to fraction form
    130,911/282,709.50 = 282,709.50/x
  3. Step 3: Cross multiply
    130,911x = 282,709.50 × 282,709.50
  4. Step 4: Simplify right side
    130,911x = 79,924,661,390.25
  5. Step 5: Solve for x
    x = 79,924,661,390.25/130,911
  6. Step 6: Final answer
    x = 610,526.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.