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Finding the Third Proportional to 145,657,272 and 312,090,544

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Solution

The third proportional to 145,657,272 and 312,090,544 is: 668,696,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,657,272 : 312,090,544 = 312,090,544 : x
  2. Step 2: Convert to fraction form
    145,657,272/312,090,544 = 312,090,544/x
  3. Step 3: Cross multiply
    145,657,272x = 312,090,544 × 312,090,544
  4. Step 4: Simplify right side
    145,657,272x = 97,400,507,654,215,936
  5. Step 5: Solve for x
    x = 97,400,507,654,215,936/145,657,272
  6. Step 6: Final answer
    x = 668,696,497.72

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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.