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Finding the Third Proportional to 397,282,143 and 855,281,382

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Solution

The third proportional to 397,282,143 and 855,281,382 is: 1,841,276,421.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,282,143 : 855,281,382 = 855,281,382 : x
  2. Step 2: Convert to fraction form
    397,282,143/855,281,382 = 855,281,382/x
  3. Step 3: Cross multiply
    397,282,143x = 855,281,382 × 855,281,382
  4. Step 4: Simplify right side
    397,282,143x = 731,506,242,395,829,888
  5. Step 5: Solve for x
    x = 731,506,242,395,829,888/397,282,143
  6. Step 6: Final answer
    x = 1,841,276,421.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.