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Finding the Third Proportional to 139,552,972,580 and 304,363,564,520

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Solution

The third proportional to 139,552,972,580 and 304,363,564,520 is: 663,813,731,049.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,552,972,580 : 304,363,564,520 = 304,363,564,520 : x
  2. Step 2: Convert to fraction form
    139,552,972,580/304,363,564,520 = 304,363,564,520/x
  3. Step 3: Cross multiply
    139,552,972,580x = 304,363,564,520 × 304,363,564,520
  4. Step 4: Simplify right side
    139,552,972,580x = 92,637,179,407,320,200,773,632
  5. Step 5: Solve for x
    x = 92,637,179,407,320,200,773,632/139,552,972,580
  6. Step 6: Final answer
    x = 663,813,731,049.08

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Why These Related Problems?

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