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Finding the Third Proportional to 296,344 and 640,075.50

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Solution

The third proportional to 296,344 and 640,075.50 is: 1,382,503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,344 : 640,075.50 = 640,075.50 : x
  2. Step 2: Convert to fraction form
    296,344/640,075.50 = 640,075.50/x
  3. Step 3: Cross multiply
    296,344x = 640,075.50 × 640,075.50
  4. Step 4: Simplify right side
    296,344x = 409,696,645,700.25
  5. Step 5: Solve for x
    x = 409,696,645,700.25/296,344
  6. Step 6: Final answer
    x = 1,382,503.60

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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.