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Finding the Third Proportional to 346,300,734 and 761,860,931.50

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Solution

The third proportional to 346,300,734 and 761,860,931.50 is: 1,676,092,546.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,300,734 : 761,860,931.50 = 761,860,931.50 : x
  2. Step 2: Convert to fraction form
    346,300,734/761,860,931.50 = 761,860,931.50/x
  3. Step 3: Cross multiply
    346,300,734x = 761,860,931.50 × 761,860,931.50
  4. Step 4: Simplify right side
    346,300,734x = 580,432,078,946,047,744
  5. Step 5: Solve for x
    x = 580,432,078,946,047,744/346,300,734
  6. Step 6: Final answer
    x = 1,676,092,546.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.