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Finding the Third Proportional to 65,878,407 and 143,097,411

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Solution

The third proportional to 65,878,407 and 143,097,411 is: 310,828,235.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,878,407 : 143,097,411 = 143,097,411 : x
  2. Step 2: Convert to fraction form
    65,878,407/143,097,411 = 143,097,411/x
  3. Step 3: Cross multiply
    65,878,407x = 143,097,411 × 143,097,411
  4. Step 4: Simplify right side
    65,878,407x = 20,476,869,034,902,920
  5. Step 5: Solve for x
    x = 20,476,869,034,902,920/65,878,407
  6. Step 6: Final answer
    x = 310,828,235.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.