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Finding the Third Proportional to 89,854,057 and 128,403,784

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Solution

The third proportional to 89,854,057 and 128,403,784 is: 183,492,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,854,057 : 128,403,784 = 128,403,784 : x
  2. Step 2: Convert to fraction form
    89,854,057/128,403,784 = 128,403,784/x
  3. Step 3: Cross multiply
    89,854,057x = 128,403,784 × 128,403,784
  4. Step 4: Simplify right side
    89,854,057x = 16,487,531,745,518,656
  5. Step 5: Solve for x
    x = 16,487,531,745,518,656/89,854,057
  6. Step 6: Final answer
    x = 183,492,346.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.