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Finding the Third Proportional to 142,360,917 and 221,864,506.50

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Solution

The third proportional to 142,360,917 and 221,864,506.50 is: 345,768,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,360,917 : 221,864,506.50 = 221,864,506.50 : x
  2. Step 2: Convert to fraction form
    142,360,917/221,864,506.50 = 221,864,506.50/x
  3. Step 3: Cross multiply
    142,360,917x = 221,864,506.50 × 221,864,506.50
  4. Step 4: Simplify right side
    142,360,917x = 49,223,859,244,488,544
  5. Step 5: Solve for x
    x = 49,223,859,244,488,544/142,360,917
  6. Step 6: Final answer
    x = 345,768,068.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.