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Finding the Third Proportional to 247,080,140 and 526,990,984

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Solution

The third proportional to 247,080,140 and 526,990,984 is: 1,124,005,746.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,080,140 : 526,990,984 = 526,990,984 : x
  2. Step 2: Convert to fraction form
    247,080,140/526,990,984 = 526,990,984/x
  3. Step 3: Cross multiply
    247,080,140x = 526,990,984 × 526,990,984
  4. Step 4: Simplify right side
    247,080,140x = 277,719,497,217,288,256
  5. Step 5: Solve for x
    x = 277,719,497,217,288,256/247,080,140
  6. Step 6: Final answer
    x = 1,124,005,746.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.