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Finding the Third Proportional to 390,071,566.50 and 534,882,894.75

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Solution

The third proportional to 390,071,566.50 and 534,882,894.75 is: 733,454,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,071,566.50 : 534,882,894.75 = 534,882,894.75 : x
  2. Step 2: Convert to fraction form
    390,071,566.50/534,882,894.75 = 534,882,894.75/x
  3. Step 3: Cross multiply
    390,071,566.50x = 534,882,894.75 × 534,882,894.75
  4. Step 4: Simplify right side
    390,071,566.50x = 286,099,711,096,139,584
  5. Step 5: Solve for x
    x = 286,099,711,096,139,584/390,071,566.50
  6. Step 6: Final answer
    x = 733,454,411.11

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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.