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Finding the Third Proportional to 119,319 and 257,320.50

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Solution

The third proportional to 119,319 and 257,320.50 is: 554,931.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,319 : 257,320.50 = 257,320.50 : x
  2. Step 2: Convert to fraction form
    119,319/257,320.50 = 257,320.50/x
  3. Step 3: Cross multiply
    119,319x = 257,320.50 × 257,320.50
  4. Step 4: Simplify right side
    119,319x = 66,213,839,720.25
  5. Step 5: Solve for x
    x = 66,213,839,720.25/119,319
  6. Step 6: Final answer
    x = 554,931.23

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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.