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Finding the Third Proportional to 145,657,172 and 312,090,338

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Solution

The third proportional to 145,657,172 and 312,090,338 is: 668,696,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,657,172 : 312,090,338 = 312,090,338 : x
  2. Step 2: Convert to fraction form
    145,657,172/312,090,338 = 312,090,338/x
  3. Step 3: Cross multiply
    145,657,172x = 312,090,338 × 312,090,338
  4. Step 4: Simplify right side
    145,657,172x = 97,400,379,072,954,240
  5. Step 5: Solve for x
    x = 97,400,379,072,954,240/145,657,172
  6. Step 6: Final answer
    x = 668,696,074.05

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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.