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Finding the Third Proportional to 333,998,707.50 and 690,908,427

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Solution

The third proportional to 333,998,707.50 and 690,908,427 is: 1,429,210,484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,998,707.50 : 690,908,427 = 690,908,427 : x
  2. Step 2: Convert to fraction form
    333,998,707.50/690,908,427 = 690,908,427/x
  3. Step 3: Cross multiply
    333,998,707.50x = 690,908,427 × 690,908,427
  4. Step 4: Simplify right side
    333,998,707.50x = 477,354,454,499,614,336
  5. Step 5: Solve for x
    x = 477,354,454,499,614,336/333,998,707.50
  6. Step 6: Final answer
    x = 1,429,210,484.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.