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Finding the Third Proportional to 315,107,742 and 506,290,440

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Solution

The third proportional to 315,107,742 and 506,290,440 is: 813,467,825.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,107,742 : 506,290,440 = 506,290,440 : x
  2. Step 2: Convert to fraction form
    315,107,742/506,290,440 = 506,290,440/x
  3. Step 3: Cross multiply
    315,107,742x = 506,290,440 × 506,290,440
  4. Step 4: Simplify right side
    315,107,742x = 256,330,009,635,393,600
  5. Step 5: Solve for x
    x = 256,330,009,635,393,600/315,107,742
  6. Step 6: Final answer
    x = 813,467,825.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.