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Finding the Third Proportional to 200,657,385 and 440,774,259.75

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Solution

The third proportional to 200,657,385 and 440,774,259.75 is: 968,227,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,657,385 : 440,774,259.75 = 440,774,259.75 : x
  2. Step 2: Convert to fraction form
    200,657,385/440,774,259.75 = 440,774,259.75/x
  3. Step 3: Cross multiply
    200,657,385x = 440,774,259.75 × 440,774,259.75
  4. Step 4: Simplify right side
    200,657,385x = 194,281,948,058,160,480
  5. Step 5: Solve for x
    x = 194,281,948,058,160,480/200,657,385
  6. Step 6: Final answer
    x = 968,227,249.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.