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Finding the Third Proportional to 509,720,742 and 786,406,342.50

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Solution

The third proportional to 509,720,742 and 786,406,342.50 is: 1,213,281,870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,720,742 : 786,406,342.50 = 786,406,342.50 : x
  2. Step 2: Convert to fraction form
    509,720,742/786,406,342.50 = 786,406,342.50/x
  3. Step 3: Cross multiply
    509,720,742x = 786,406,342.50 × 786,406,342.50
  4. Step 4: Simplify right side
    509,720,742x = 618,434,935,524,227,328
  5. Step 5: Solve for x
    x = 618,434,935,524,227,328/509,720,742
  6. Step 6: Final answer
    x = 1,213,281,870.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.