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Finding the Third Proportional to 145,690,569 and 312,150,159

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Solution

The third proportional to 145,690,569 and 312,150,159 is: 668,799,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,690,569 : 312,150,159 = 312,150,159 : x
  2. Step 2: Convert to fraction form
    145,690,569/312,150,159 = 312,150,159/x
  3. Step 3: Cross multiply
    145,690,569x = 312,150,159 × 312,150,159
  4. Step 4: Simplify right side
    145,690,569x = 97,437,721,763,725,280
  5. Step 5: Solve for x
    x = 97,437,721,763,725,280/145,690,569
  6. Step 6: Final answer
    x = 668,799,102.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.