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Finding the Third Proportional to 210,956,988.50 and 454,315,116.50

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Solution

The third proportional to 210,956,988.50 and 454,315,116.50 is: 978,409,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,956,988.50 : 454,315,116.50 = 454,315,116.50 : x
  2. Step 2: Convert to fraction form
    210,956,988.50/454,315,116.50 = 454,315,116.50/x
  3. Step 3: Cross multiply
    210,956,988.50x = 454,315,116.50 × 454,315,116.50
  4. Step 4: Simplify right side
    210,956,988.50x = 206,402,225,080,408,576
  5. Step 5: Solve for x
    x = 206,402,225,080,408,576/210,956,988.50
  6. Step 6: Final answer
    x = 978,409,042.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.