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Finding the Third Proportional to 125,384,297 and 193,666,381.50

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Solution

The third proportional to 125,384,297 and 193,666,381.50 is: 299,133,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,384,297 : 193,666,381.50 = 193,666,381.50 : x
  2. Step 2: Convert to fraction form
    125,384,297/193,666,381.50 = 193,666,381.50/x
  3. Step 3: Cross multiply
    125,384,297x = 193,666,381.50 × 193,666,381.50
  4. Step 4: Simplify right side
    125,384,297x = 37,506,667,323,303,544
  5. Step 5: Solve for x
    x = 37,506,667,323,303,544/125,384,297
  6. Step 6: Final answer
    x = 299,133,689.15

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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.