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Finding the Third Proportional to 129,528,180 and 280,579,752

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Solution

The third proportional to 129,528,180 and 280,579,752 is: 607,782,779.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,528,180 : 280,579,752 = 280,579,752 : x
  2. Step 2: Convert to fraction form
    129,528,180/280,579,752 = 280,579,752/x
  3. Step 3: Cross multiply
    129,528,180x = 280,579,752 × 280,579,752
  4. Step 4: Simplify right side
    129,528,180x = 78,724,997,232,381,504
  5. Step 5: Solve for x
    x = 78,724,997,232,381,504/129,528,180
  6. Step 6: Final answer
    x = 607,782,779.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.