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Finding the Third Proportional to 128,532,747 and 195,810,808.50

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Solution

The third proportional to 128,532,747 and 195,810,808.50 is: 298,304,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,532,747 : 195,810,808.50 = 195,810,808.50 : x
  2. Step 2: Convert to fraction form
    128,532,747/195,810,808.50 = 195,810,808.50/x
  3. Step 3: Cross multiply
    128,532,747x = 195,810,808.50 × 195,810,808.50
  4. Step 4: Simplify right side
    128,532,747x = 38,341,872,725,423,672
  5. Step 5: Solve for x
    x = 38,341,872,725,423,672/128,532,747
  6. Step 6: Final answer
    x = 298,304,312.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.