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Finding the Third Proportional to 194,063,807.25 and 420,871,106.25

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Solution

The third proportional to 194,063,807.25 and 420,871,106.25 is: 912,753,854.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,063,807.25 : 420,871,106.25 = 420,871,106.25 : x
  2. Step 2: Convert to fraction form
    194,063,807.25/420,871,106.25 = 420,871,106.25/x
  3. Step 3: Cross multiply
    194,063,807.25x = 420,871,106.25 × 420,871,106.25
  4. Step 4: Simplify right side
    194,063,807.25x = 177,132,488,076,098,784
  5. Step 5: Solve for x
    x = 177,132,488,076,098,784/194,063,807.25
  6. Step 6: Final answer
    x = 912,753,854.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.