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Finding the Third Proportional to 155,706,543 and 331,538,953.50

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Solution

The third proportional to 155,706,543 and 331,538,953.50 is: 705,931,013.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,706,543 : 331,538,953.50 = 331,538,953.50 : x
  2. Step 2: Convert to fraction form
    155,706,543/331,538,953.50 = 331,538,953.50/x
  3. Step 3: Cross multiply
    155,706,543x = 331,538,953.50 × 331,538,953.50
  4. Step 4: Simplify right side
    155,706,543x = 109,918,077,687,875,168
  5. Step 5: Solve for x
    x = 109,918,077,687,875,168/155,706,543
  6. Step 6: Final answer
    x = 705,931,013.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.