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Finding the Third Proportional to 142,612,170.75 and 312,564,026.25

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Solution

The third proportional to 142,612,170.75 and 312,564,026.25 is: 685,048,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,612,170.75 : 312,564,026.25 = 312,564,026.25 : x
  2. Step 2: Convert to fraction form
    142,612,170.75/312,564,026.25 = 312,564,026.25/x
  3. Step 3: Cross multiply
    142,612,170.75x = 312,564,026.25 × 312,564,026.25
  4. Step 4: Simplify right side
    142,612,170.75x = 97,696,270,505,610,688
  5. Step 5: Solve for x
    x = 97,696,270,505,610,688/142,612,170.75
  6. Step 6: Final answer
    x = 685,048,618.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.