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Finding the Third Proportional to 130,426 and 207,312

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Solution

The third proportional to 130,426 and 207,312 is: 329,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,426 : 207,312 = 207,312 : x
  2. Step 2: Convert to fraction form
    130,426/207,312 = 207,312/x
  3. Step 3: Cross multiply
    130,426x = 207,312 × 207,312
  4. Step 4: Simplify right side
    130,426x = 42,978,265,344
  5. Step 5: Solve for x
    x = 42,978,265,344/130,426
  6. Step 6: Final answer
    x = 329,522.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.