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Finding the Third Proportional to 78,160,278 and 114,966,952.50

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Solution

The third proportional to 78,160,278 and 114,966,952.50 is: 169,106,360.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,160,278 : 114,966,952.50 = 114,966,952.50 : x
  2. Step 2: Convert to fraction form
    78,160,278/114,966,952.50 = 114,966,952.50/x
  3. Step 3: Cross multiply
    78,160,278x = 114,966,952.50 × 114,966,952.50
  4. Step 4: Simplify right side
    78,160,278x = 13,217,400,167,137,256
  5. Step 5: Solve for x
    x = 13,217,400,167,137,256/78,160,278
  6. Step 6: Final answer
    x = 169,106,360.74

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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.