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Finding the Third Proportional to 426,840.50 and 643,075.50

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Solution

The third proportional to 426,840.50 and 643,075.50 is: 968,853.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,840.50 : 643,075.50 = 643,075.50 : x
  2. Step 2: Convert to fraction form
    426,840.50/643,075.50 = 643,075.50/x
  3. Step 3: Cross multiply
    426,840.50x = 643,075.50 × 643,075.50
  4. Step 4: Simplify right side
    426,840.50x = 413,546,098,700.25
  5. Step 5: Solve for x
    x = 413,546,098,700.25/426,840.50
  6. Step 6: Final answer
    x = 968,853.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.