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Finding the Third Proportional to 390,062,280 and 812,409,792

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Solution

The third proportional to 390,062,280 and 812,409,792 is: 1,692,062,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,062,280 : 812,409,792 = 812,409,792 : x
  2. Step 2: Convert to fraction form
    390,062,280/812,409,792 = 812,409,792/x
  3. Step 3: Cross multiply
    390,062,280x = 812,409,792 × 812,409,792
  4. Step 4: Simplify right side
    390,062,280x = 660,009,670,137,483,264
  5. Step 5: Solve for x
    x = 660,009,670,137,483,264/390,062,280
  6. Step 6: Final answer
    x = 1,692,062,278.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.