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Finding the Third Proportional to 65,531,278.50 and 141,966,937.50

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Solution

The third proportional to 65,531,278.50 and 141,966,937.50 is: 307,557,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,531,278.50 : 141,966,937.50 = 141,966,937.50 : x
  2. Step 2: Convert to fraction form
    65,531,278.50/141,966,937.50 = 141,966,937.50/x
  3. Step 3: Cross multiply
    65,531,278.50x = 141,966,937.50 × 141,966,937.50
  4. Step 4: Simplify right side
    65,531,278.50x = 20,154,611,343,128,908
  5. Step 5: Solve for x
    x = 20,154,611,343,128,908/65,531,278.50
  6. Step 6: Final answer
    x = 307,557,120.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.