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Finding the Third Proportional to 4,281,657 and 7,028,985

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Solution

The third proportional to 4,281,657 and 7,028,985 is: 11,539,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281,657 : 7,028,985 = 7,028,985 : x
  2. Step 2: Convert to fraction form
    4,281,657/7,028,985 = 7,028,985/x
  3. Step 3: Cross multiply
    4,281,657x = 7,028,985 × 7,028,985
  4. Step 4: Simplify right side
    4,281,657x = 49,406,630,130,225
  5. Step 5: Solve for x
    x = 49,406,630,130,225/4,281,657
  6. Step 6: Final answer
    x = 11,539,137.80

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.