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Finding the Third Proportional to 455,039,532 and 687,341,430

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Solution

The third proportional to 455,039,532 and 687,341,430 is: 1,038,235,599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,039,532 : 687,341,430 = 687,341,430 : x
  2. Step 2: Convert to fraction form
    455,039,532/687,341,430 = 687,341,430/x
  3. Step 3: Cross multiply
    455,039,532x = 687,341,430 × 687,341,430
  4. Step 4: Simplify right side
    455,039,532x = 472,438,241,394,444,928
  5. Step 5: Solve for x
    x = 472,438,241,394,444,928/455,039,532
  6. Step 6: Final answer
    x = 1,038,235,599.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.