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Finding the Third Proportional to 130,155,836 and 172,736,085

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Solution

The third proportional to 130,155,836 and 172,736,085 is: 229,246,386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,155,836 : 172,736,085 = 172,736,085 : x
  2. Step 2: Convert to fraction form
    130,155,836/172,736,085 = 172,736,085/x
  3. Step 3: Cross multiply
    130,155,836x = 172,736,085 × 172,736,085
  4. Step 4: Simplify right side
    130,155,836x = 29,837,755,061,127,224
  5. Step 5: Solve for x
    x = 29,837,755,061,127,224/130,155,836
  6. Step 6: Final answer
    x = 229,246,386.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.