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Finding the Third Proportional to 125,384,295 and 193,666,378.50

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Solution

The third proportional to 125,384,295 and 193,666,378.50 is: 299,133,684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,384,295 : 193,666,378.50 = 193,666,378.50 : x
  2. Step 2: Convert to fraction form
    125,384,295/193,666,378.50 = 193,666,378.50/x
  3. Step 3: Cross multiply
    125,384,295x = 193,666,378.50 × 193,666,378.50
  4. Step 4: Simplify right side
    125,384,295x = 37,506,666,161,305,264
  5. Step 5: Solve for x
    x = 37,506,666,161,305,264/125,384,295
  6. Step 6: Final answer
    x = 299,133,684.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.