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Finding the Third Proportional to 130,430 and 198,386

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Solution

The third proportional to 130,430 and 198,386 is: 301,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,430 : 198,386 = 198,386 : x
  2. Step 2: Convert to fraction form
    130,430/198,386 = 198,386/x
  3. Step 3: Cross multiply
    130,430x = 198,386 × 198,386
  4. Step 4: Simplify right side
    130,430x = 39,357,004,996
  5. Step 5: Solve for x
    x = 39,357,004,996/130,430
  6. Step 6: Final answer
    x = 301,748.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.