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Finding the Third Proportional to 390,071,569.50 and 534,882,898.50

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Solution

The third proportional to 390,071,569.50 and 534,882,898.50 is: 733,454,415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,071,569.50 : 534,882,898.50 = 534,882,898.50 : x
  2. Step 2: Convert to fraction form
    390,071,569.50/534,882,898.50 = 534,882,898.50/x
  3. Step 3: Cross multiply
    390,071,569.50x = 534,882,898.50 × 534,882,898.50
  4. Step 4: Simplify right side
    390,071,569.50x = 286,099,715,107,761,312
  5. Step 5: Solve for x
    x = 286,099,715,107,761,312/390,071,569.50
  6. Step 6: Final answer
    x = 733,454,415.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.