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Finding the Third Proportional to 128,835,984 and 278,096,455.50

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Solution

The third proportional to 128,835,984 and 278,096,455.50 is: 600,279,798.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,835,984 : 278,096,455.50 = 278,096,455.50 : x
  2. Step 2: Convert to fraction form
    128,835,984/278,096,455.50 = 278,096,455.50/x
  3. Step 3: Cross multiply
    128,835,984x = 278,096,455.50 × 278,096,455.50
  4. Step 4: Simplify right side
    128,835,984x = 77,337,638,561,663,488
  5. Step 5: Solve for x
    x = 77,337,638,561,663,488/128,835,984
  6. Step 6: Final answer
    x = 600,279,798.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.