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Finding the Third Proportional to 771,342,450 and 1,175,060,526.50

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Solution

The third proportional to 771,342,450 and 1,175,060,526.50 is: 1,790,083,303.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,342,450 : 1,175,060,526.50 = 1,175,060,526.50 : x
  2. Step 2: Convert to fraction form
    771,342,450/1,175,060,526.50 = 1,175,060,526.50/x
  3. Step 3: Cross multiply
    771,342,450x = 1,175,060,526.50 × 1,175,060,526.50
  4. Step 4: Simplify right side
    771,342,450x = 1,380,767,240,938,457,088
  5. Step 5: Solve for x
    x = 1,380,767,240,938,457,088/771,342,450
  6. Step 6: Final answer
    x = 1,790,083,303.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.