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Finding the Third Proportional to 489,917,814.75 and 725,692,945.50

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Solution

The third proportional to 489,917,814.75 and 725,692,945.50 is: 1,074,935,908.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,917,814.75 : 725,692,945.50 = 725,692,945.50 : x
  2. Step 2: Convert to fraction form
    489,917,814.75/725,692,945.50 = 725,692,945.50/x
  3. Step 3: Cross multiply
    489,917,814.75x = 725,692,945.50 × 725,692,945.50
  4. Step 4: Simplify right side
    489,917,814.75x = 526,630,251,148,465,984
  5. Step 5: Solve for x
    x = 526,630,251,148,465,984/489,917,814.75
  6. Step 6: Final answer
    x = 1,074,935,908.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.