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Finding the Third Proportional to 42,065,255 and 66,551,705

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Solution

The third proportional to 42,065,255 and 66,551,705 is: 105,291,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,065,255 : 66,551,705 = 66,551,705 : x
  2. Step 2: Convert to fraction form
    42,065,255/66,551,705 = 66,551,705/x
  3. Step 3: Cross multiply
    42,065,255x = 66,551,705 × 66,551,705
  4. Step 4: Simplify right side
    42,065,255x = 4,429,129,438,407,025
  5. Step 5: Solve for x
    x = 4,429,129,438,407,025/42,065,255
  6. Step 6: Final answer
    x = 105,291,871.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.