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Finding the Third Proportional to 212,585,341.50 and 330,070,581

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Solution

The third proportional to 212,585,341.50 and 330,070,581 is: 512,484,010.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,585,341.50 : 330,070,581 = 330,070,581 : x
  2. Step 2: Convert to fraction form
    212,585,341.50/330,070,581 = 330,070,581/x
  3. Step 3: Cross multiply
    212,585,341.50x = 330,070,581 × 330,070,581
  4. Step 4: Simplify right side
    212,585,341.50x = 108,946,588,441,677,568
  5. Step 5: Solve for x
    x = 108,946,588,441,677,568/212,585,341.50
  6. Step 6: Final answer
    x = 512,484,010.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.