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Finding the Third Proportional to 122,411,688 and 258,639,786

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Solution

The third proportional to 122,411,688 and 258,639,786 is: 546,471,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,411,688 : 258,639,786 = 258,639,786 : x
  2. Step 2: Convert to fraction form
    122,411,688/258,639,786 = 258,639,786/x
  3. Step 3: Cross multiply
    122,411,688x = 258,639,786 × 258,639,786
  4. Step 4: Simplify right side
    122,411,688x = 66,894,538,902,125,792
  5. Step 5: Solve for x
    x = 66,894,538,902,125,792/122,411,688
  6. Step 6: Final answer
    x = 546,471,827.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.