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Finding the Third Proportional to 119,457,043,748 and 255,953,003,480

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Solution

The third proportional to 119,457,043,748 and 255,953,003,480 is: 548,414,207,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,457,043,748 : 255,953,003,480 = 255,953,003,480 : x
  2. Step 2: Convert to fraction form
    119,457,043,748/255,953,003,480 = 255,953,003,480/x
  3. Step 3: Cross multiply
    119,457,043,748x = 255,953,003,480 × 255,953,003,480
  4. Step 4: Simplify right side
    119,457,043,748x = 65,511,939,990,432,891,535,360
  5. Step 5: Solve for x
    x = 65,511,939,990,432,891,535,360/119,457,043,748
  6. Step 6: Final answer
    x = 548,414,207,609.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.