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Finding the Third Proportional to 78,497,280 and 116,980,155

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Solution

The third proportional to 78,497,280 and 116,980,155 is: 174,329,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,497,280 : 116,980,155 = 116,980,155 : x
  2. Step 2: Convert to fraction form
    78,497,280/116,980,155 = 116,980,155/x
  3. Step 3: Cross multiply
    78,497,280x = 116,980,155 × 116,980,155
  4. Step 4: Simplify right side
    78,497,280x = 13,684,356,663,824,024
  5. Step 5: Solve for x
    x = 13,684,356,663,824,024/78,497,280
  6. Step 6: Final answer
    x = 174,329,055.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.