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Finding the Third Proportional to 83,473,261 and 115,344,271.50

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Solution

The third proportional to 83,473,261 and 115,344,271.50 is: 159,383,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,473,261 : 115,344,271.50 = 115,344,271.50 : x
  2. Step 2: Convert to fraction form
    83,473,261/115,344,271.50 = 115,344,271.50/x
  3. Step 3: Cross multiply
    83,473,261x = 115,344,271.50 × 115,344,271.50
  4. Step 4: Simplify right side
    83,473,261x = 13,304,300,967,865,712
  5. Step 5: Solve for x
    x = 13,304,300,967,865,712/83,473,261
  6. Step 6: Final answer
    x = 159,383,984.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.