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Finding the Third Proportional to 12,464,748 and 18,779,134.50

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Solution

The third proportional to 12,464,748 and 18,779,134.50 is: 28,292,260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464,748 : 18,779,134.50 = 18,779,134.50 : x
  2. Step 2: Convert to fraction form
    12,464,748/18,779,134.50 = 18,779,134.50/x
  3. Step 3: Cross multiply
    12,464,748x = 18,779,134.50 × 18,779,134.50
  4. Step 4: Simplify right side
    12,464,748x = 352,655,892,569,090.25
  5. Step 5: Solve for x
    x = 352,655,892,569,090.25/12,464,748
  6. Step 6: Final answer
    x = 28,292,260.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.