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Finding the Third Proportional to 219,487,394 and 298,955,264

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Solution

The third proportional to 219,487,394 and 298,955,264 is: 407,195,366.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,487,394 : 298,955,264 = 298,955,264 : x
  2. Step 2: Convert to fraction form
    219,487,394/298,955,264 = 298,955,264/x
  3. Step 3: Cross multiply
    219,487,394x = 298,955,264 × 298,955,264
  4. Step 4: Simplify right side
    219,487,394x = 89,374,249,873,309,696
  5. Step 5: Solve for x
    x = 89,374,249,873,309,696/219,487,394
  6. Step 6: Final answer
    x = 407,195,366.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.