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Finding the Third Proportional to 148,586,918 and 312,214,348

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Solution

The third proportional to 148,586,918 and 312,214,348 is: 656,032,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,586,918 : 312,214,348 = 312,214,348 : x
  2. Step 2: Convert to fraction form
    148,586,918/312,214,348 = 312,214,348/x
  3. Step 3: Cross multiply
    148,586,918x = 312,214,348 × 312,214,348
  4. Step 4: Simplify right side
    148,586,918x = 97,477,799,097,065,104
  5. Step 5: Solve for x
    x = 97,477,799,097,065,104/148,586,918
  6. Step 6: Final answer
    x = 656,032,175.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.