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Finding the Third Proportional to 872,134,633 and 1,340,533,460

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Solution

The third proportional to 872,134,633 and 1,340,533,460 is: 2,060,496,039.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,134,633 : 1,340,533,460 = 1,340,533,460 : x
  2. Step 2: Convert to fraction form
    872,134,633/1,340,533,460 = 1,340,533,460/x
  3. Step 3: Cross multiply
    872,134,633x = 1,340,533,460 × 1,340,533,460
  4. Step 4: Simplify right side
    872,134,633x = 1,797,029,957,379,571,712
  5. Step 5: Solve for x
    x = 1,797,029,957,379,571,712/872,134,633
  6. Step 6: Final answer
    x = 2,060,496,039.70

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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.