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Finding the Third Proportional to 142,047,815,768 and 309,101,768,776

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Solution

The third proportional to 142,047,815,768 and 309,101,768,776 is: 672,617,899,429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,047,815,768 : 309,101,768,776 = 309,101,768,776 : x
  2. Step 2: Convert to fraction form
    142,047,815,768/309,101,768,776 = 309,101,768,776/x
  3. Step 3: Cross multiply
    142,047,815,768x = 309,101,768,776 × 309,101,768,776
  4. Step 4: Simplify right side
    142,047,815,768x = 95,543,903,460,451,772,530,688
  5. Step 5: Solve for x
    x = 95,543,903,460,451,772,530,688/142,047,815,768
  6. Step 6: Final answer
    x = 672,617,899,429.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.