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Finding the Third Proportional to 535,577,059.13 and 827,242,915.50

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Solution

The third proportional to 535,577,059.13 and 827,242,915.50 is: 1,277,744,872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,577,059.13 : 827,242,915.50 = 827,242,915.50 : x
  2. Step 2: Convert to fraction form
    535,577,059.13/827,242,915.50 = 827,242,915.50/x
  3. Step 3: Cross multiply
    535,577,059.13x = 827,242,915.50 × 827,242,915.50
  4. Step 4: Simplify right side
    535,577,059.13x = 684,330,841,244,940,160
  5. Step 5: Solve for x
    x = 684,330,841,244,940,160/535,577,059.13
  6. Step 6: Final answer
    x = 1,277,744,872.72

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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.