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Finding the Third Proportional to 78,134,421 and 114,943,180.50

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Solution

The third proportional to 78,134,421 and 114,943,180.50 is: 169,092,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,134,421 : 114,943,180.50 = 114,943,180.50 : x
  2. Step 2: Convert to fraction form
    78,134,421/114,943,180.50 = 114,943,180.50/x
  3. Step 3: Cross multiply
    78,134,421x = 114,943,180.50 × 114,943,180.50
  4. Step 4: Simplify right side
    78,134,421x = 13,211,934,743,455,580
  5. Step 5: Solve for x
    x = 13,211,934,743,455,580/78,134,421
  6. Step 6: Final answer
    x = 169,092,374.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.