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Finding the Third Proportional to 7,706,778 and 12,001,293

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Solution

The third proportional to 7,706,778 and 12,001,293 is: 18,688,877.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706,778 : 12,001,293 = 12,001,293 : x
  2. Step 2: Convert to fraction form
    7,706,778/12,001,293 = 12,001,293/x
  3. Step 3: Cross multiply
    7,706,778x = 12,001,293 × 12,001,293
  4. Step 4: Simplify right side
    7,706,778x = 144,031,033,671,849
  5. Step 5: Solve for x
    x = 144,031,033,671,849/7,706,778
  6. Step 6: Final answer
    x = 18,688,877.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.