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Finding the Third Proportional to 98,688,868.50 and 213,852,408

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Solution

The third proportional to 98,688,868.50 and 213,852,408 is: 463,404,364.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,688,868.50 : 213,852,408 = 213,852,408 : x
  2. Step 2: Convert to fraction form
    98,688,868.50/213,852,408 = 213,852,408/x
  3. Step 3: Cross multiply
    98,688,868.50x = 213,852,408 × 213,852,408
  4. Step 4: Simplify right side
    98,688,868.50x = 45,732,852,407,398,464
  5. Step 5: Solve for x
    x = 45,732,852,407,398,464/98,688,868.50
  6. Step 6: Final answer
    x = 463,404,364.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.