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Finding the Third Proportional to 124,196,175,726 and 270,152,805,612

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Solution

The third proportional to 124,196,175,726 and 270,152,805,612 is: 587,639,176,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,196,175,726 : 270,152,805,612 = 270,152,805,612 : x
  2. Step 2: Convert to fraction form
    124,196,175,726/270,152,805,612 = 270,152,805,612/x
  3. Step 3: Cross multiply
    124,196,175,726x = 270,152,805,612 × 270,152,805,612
  4. Step 4: Simplify right side
    124,196,175,726x = 72,982,538,380,035,059,875,840
  5. Step 5: Solve for x
    x = 72,982,538,380,035,059,875,840/124,196,175,726
  6. Step 6: Final answer
    x = 587,639,176,113.19

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.