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Finding the Third Proportional to 780,376,564 and 1,820,941,539

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Solution

The third proportional to 780,376,564 and 1,820,941,539 is: 4,249,010,338.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,376,564 : 1,820,941,539 = 1,820,941,539 : x
  2. Step 2: Convert to fraction form
    780,376,564/1,820,941,539 = 1,820,941,539/x
  3. Step 3: Cross multiply
    780,376,564x = 1,820,941,539 × 1,820,941,539
  4. Step 4: Simplify right side
    780,376,564x = 3,315,828,088,455,688,704
  5. Step 5: Solve for x
    x = 3,315,828,088,455,688,704/780,376,564
  6. Step 6: Final answer
    x = 4,249,010,338.62

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.