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Finding the Third Proportional to 55,742,499 and 120,027,420

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Solution

The third proportional to 55,742,499 and 120,027,420 is: 258,448,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,742,499 : 120,027,420 = 120,027,420 : x
  2. Step 2: Convert to fraction form
    55,742,499/120,027,420 = 120,027,420/x
  3. Step 3: Cross multiply
    55,742,499x = 120,027,420 × 120,027,420
  4. Step 4: Simplify right side
    55,742,499x = 14,406,581,551,856,400
  5. Step 5: Solve for x
    x = 14,406,581,551,856,400/55,742,499
  6. Step 6: Final answer
    x = 258,448,792.40

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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.